Taylor Series | Taylor Theorem | Proof & Series Expansion

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Taylor Series | Taylor Theorem | Proof & Series Expansion | Part-I

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This video lecture of Taylor Series | Taylor Theorem | Proof & Series Expansion | Part-I | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand following topic of Mathematics:
1. What is Taylor Theorem and how To Prove this ?
2. What is Taylor Series and how to expand this By Taylor Theorem ?
3. Question Based on Taylor Theorem and their series expansion.
4. Taylor series expansion Of Standard Function
#TaylorSeires #TaylorTheorem #Proof&Expansion
#EngineeringMahemaics #BSCMaths #GATE #IITJAM #CSIRNET
This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech students also preparing NET, GATE and IIT-JAM Aspirants.
Find Online Engineering Math 2019 Online Solutions Of Taylor Series | Taylor Theorem | Proof & Series Expansion | Part-I | Problems & Concepts by GP Sir (Gajendra Purohit)
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Time Stamp
0:00 - An introduction
1:51 - Taylor Theorem
2:38 - Proof of Taylor Theorem
7:45 - Q1.
10:39 - Q2.
13:59 - Q3.
16:48 - Conclusion of video
17:37 - Detailed about old videos
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Dr.Gajendra Purohit

Пікірлер: 1 100

@gajendrapurohit 4 жыл бұрын

Thanks for your comment, your appreciation always motivate us to do such kind work. Join Telegram Channel : t.me/mathsbygpsir Instagram Handle : instagram.com/dr.gajendrapurohit/ Facebook Page : facebook.com/Dr-Gajendra-Purohit-453775988491992/ Unacademy : unacademy.com/@Dr-GajendraPurohit Link to B.Sc. Maths Playlist : bit.ly/34tTTdc Link to Engineering Maths Playlist : bit.ly/2OQ7Uvd Link to IIT-JAM Maths Playlist : bit.ly/2sh9pei Link to GATE (Engg.) Maths Playlist : bit.ly/35EAPct Link to IAS Optional Maths Playlist : bit.ly/2rwkOqj Link to CSIR NET Maths Playlist : bit.ly/2R8sUjV Link to Aptitude Playlist : bit.ly/3ewDR7z Link to Mathematical Physics Playlist : bit.ly/2NvRHLJ Link to Abstract Algebra Playlist : bit.ly/2A70LUb Link to General Aptitude For CSIR NET : bit.ly/2ZeWpma Follwing Topics are also Available 1. Differential Calculus : bit.ly/2OTYXB0 2. Integral Calculus : bit.ly/34rLA1R 3. Differential Equation : bit.ly/37IOlO1 4. Partial Differential Equation : bit.ly/2OM5iyA 5. Complex Analysis : bit.ly/2OP8hGp 6. Numerical Analysis : bit.ly/2QYVQuy 7. Integral Transform (Laplace, Fourier & Z-Transform) : bit.ly/37HRKg9 8. Statistics & Probability : bit.ly/2DmOt7Z 9. Operation Research : bit.ly/2pYYRjp 10. Matrices (Linear Algebra) : bit.ly/2OOBSzO 11. Fourier Series : bit.ly/34u7iC9 12. Vector Calculus : bit.ly/2qICwXO 13. Theory Of Equation : bit.ly/2XU9y33 14. Special Function & Series Solution : bit.ly/2XRSU4l 15. Infinite Series : bit.ly/37K6gUI 16. Group Theory : bit.ly/3ieUze2 Please share it with your Friends Thanks Dr.Gajendra Purohit

@Akashalomiitbombay 3 жыл бұрын

Very very nice sir

@sachinupreti7159 3 жыл бұрын

Tan inverse pi by four one kabse hone lag gaya sir ?

@sachinupreti7159 3 жыл бұрын

Go threw yur video and check it ,. 🤖🤖

@nailawaqar362 3 жыл бұрын

Thanks a lot Sir 👌

@mariyanizami4904 3 жыл бұрын

Sir u r amazingly superb

@shreyanshtiwari2366 2 жыл бұрын

Who is here before 1 day of exam ?😊😊😊😊

@gauravthakur6873 9 ай бұрын

Me 😂

@baldevsharma626 9 ай бұрын

I am here just 1 hour before exam

@brownmunde7844 8 ай бұрын

Mai bhai mai

@shreyanshtiwari2366 8 ай бұрын

😁😁

@Mr.MRBmathematics 8 ай бұрын

I am also bro

@kuldeeplakheshwar7811 3 жыл бұрын

India's best 'last minute savior', specially for engineering students 😁.

@che-17pratichishukla83 3 жыл бұрын

Yes bro😅

@souravdandapat4361 3 жыл бұрын

@@che-17pratichishukla83 kal exam hain 😁

@nehasharma-fe5gn 3 жыл бұрын

Actually 😂😂😂😂

@CS__ADITYASHRIVASTAVA 3 жыл бұрын

@@nehasharma-fe5gn Are you an AKTU student 😂😂?

@HarmonyBlend 3 жыл бұрын

Yes bhai such kh rha hai

@sirivennela2260 4 жыл бұрын

I scored 28/30 just by seeing ur video in KZfaq abt tracing of curve and radius of curvature.. Thank u soo much sir

@yubrajkarki. Жыл бұрын

u scored 28 marks in final exam or internal exams

@AS-dq1ku 2 жыл бұрын

Sir the best part of you that you don't make any video longer.... That helps me to complete any topic in just few minutes... 😊 Thanks sir.. ❤️

@niteshrajak6236 Жыл бұрын

In 2nd question of Taylor's expansion you take tan in the place of tan^-1(tan inverse) at the time of placing values (pi/4).

@bloodynoobsnip3420 Жыл бұрын

Because tan inverse pi/4=1 hota h

@rujulasingh1870 Жыл бұрын

@@bloodynoobsnip3420 tan pi/4 =1 hota hai

@bloodynoobsnip3420 Жыл бұрын

@@rujulasingh1870 sorry sorry may be it was a mistake

@hallo_Deutsche Жыл бұрын

i had the same doubt

@uniqueness0037 10 ай бұрын

Non guys tan^-1= π/ 4

@gourprashant1525 2 жыл бұрын

Sir aap ka concept bahut acchhe se samajh aata hai

@shreyaskulkarni6910 3 жыл бұрын

2 waqt ki roti rehane ke liye ghar aur maths me pass hone ke liye Purohit sir aur kya chahiye jine ke liye, hats off to ur work sir, great fan of yours 🙏🏻🙏🏻🙏🏻🙏🏻

@PriyanshuBhalla0 Жыл бұрын

THANK YOU VERY MUCH SIR.... WITHOUT THIS I WOULD HARDLY PASS MY MATHS EXAM...YOU ARE BLESSING FOR US❤️

@informalpivots7673 3 жыл бұрын

Normal student is learning online now from school and Pros are learning from here Thank u sir ❤️

@vaibhavkaushik627 3 жыл бұрын

Sir,you are doing a great job. I wish for your prosperity.May every God blesss. You videos are very good are help me a lot.Stay motivatedd and be happy.

@oreawajojoda 9 ай бұрын

sir, in the question 2 there is mistake tan-1(pie/4) is not possible so change the question as, expand tan-1x to the power of (x-1)

@pratyushraj3393 3 жыл бұрын

You made this topic very much easy to understand. Thank you sir🙏🏻🙏🏻

@aalokbhanot08 4 жыл бұрын

great effort on your part sir. it really helps a lot during exams. you have covered the whole syllabus in a very systematic way and it is very useful to understand the concept easily😊

@adarshsingh8464 3 жыл бұрын

thank you sir for uploading such as wonderful videos, after understanding theorem and solving example i had solved all questions my book,please upload videos on bsc 2nd year mathematics

@khushalkhangharani9394 3 жыл бұрын

Nimasty Sir! Sir your way of teaching is appreciable God Bless you💗

@Manish-bs4mh 4 жыл бұрын

Thank you sir for sharing this idea with me. God bless you!

@shubhtrivedi19 3 жыл бұрын

I have understood it clearly. Thank you sir so much 🙏🏻🙏🏻

@bishnumadkami6453 Жыл бұрын

I am very happy for your teaching sir .thank you so much sir

@zenerywei2178 Жыл бұрын

Big Thanks to you sir Gajendra🙏 May god bless your Life 💗

@ELBMohdUsman 2 жыл бұрын

Thank you very much sir🙂 .Your teaching style is magnificent⭐. Keep doing this awesome work. We love you sir.

@RAMKUMAR-ni8uw 2 жыл бұрын

very helpfull lecture sir greatest mathematics channel ever i have seen ..... so respect sir

@vinodbamniya6872 4 жыл бұрын

Sir aapke video se muje help Mili aur mene class me maths me second position hasil ki ....... Aap concept aache se explain krke questions smjhate hoo .... Thank you so much sir

@shreyakumari9616 3 жыл бұрын

Sir please make videos on hyperbolic and inverse hyperbolic functions also.. Ur videos are really helpful sir..ur efforts are really excellent sir...

@saakshi5823 3 жыл бұрын

Sir, in the tan x question, f(pie/4), will not be 1 because the range of the Tan inverse function is (-pie/2,pie/2) hence it should be written as it is tan inverse pie/4...... btw good videos

@RahulKumar-nd2sp 2 жыл бұрын

Yeah, I also noticed the same

@AnkitGupta-ix3st 2 жыл бұрын

Yes, I've noticed this🙂

@sarthakjain5084 Жыл бұрын

I was looking for someone in the comments to pinpoint this mistake nd i found u cutie

@niharikakapil5759 3 жыл бұрын

Really helpful video sir...keep making these videos ❤️

@sonamsonam4824 7 ай бұрын

Sir m to Puri MSc maths aapse hi padh rahi hu or mujhe benefit bhi ho raha hai ❤❤ sir aap bahut acha padhate ho bhagwan aapko lambi Umar de or aap khush raho always ❤❤❤❤❤❤❤

@vandanachauhan4578 2 жыл бұрын

Your videos are really nice sir your way of learning is appreciable

@purnimamondol5979 2 жыл бұрын

Thank you so much sir. Its really helpful. Grateful to you sir 🙏❤

@crichits2955 2 жыл бұрын

Thanks a lot sir,just viewing it 1day before my externals but I totally understand it.

@rohitjaiswal8601 Жыл бұрын

Thanks a lot sir for all these wonderful content

@kaustubhpaturi4801 3 жыл бұрын

While watching this video, I realised that my right ear is deaf... But the explanation is really very clear. The way you teach, I feel like skipping college math classes and learn from your videos. Thank you so much sir!!

@bemoreawesome8955 2 жыл бұрын

How did you came to know that your right year is deaf

@koli_samaj1204 Жыл бұрын

@@bemoreawesome8955 tik tik ki avaj se 😀

@MarufKhan-sm6ln 4 жыл бұрын

My favourite teacher, love u sir ❤️❤️❤️

@yoursheartbeats5906 4 жыл бұрын

Same same

@crazyhumi1321 3 жыл бұрын

Mine too

@RahulKumar-hq6wm 4 жыл бұрын

Sir thank you for all of this what you are doing to us......😊😊😊😊 I am a kind of poor in maths but your lectures are really helpful to me.

@yubrajkarki. Жыл бұрын

u are poor and very poor in mathematics

@Unkown4685 2 жыл бұрын

Thank you Soo much sir... I passed my M1 by referring ur vdos within 3 days... Basically I'm a lateral entry student to engineering Soo they haven't teach m1 properly Soo I have referred ur vdos before 3 days... Finally I have passed ❤️ thank you sir 👍🙏

@deepakkumarkapri902 4 жыл бұрын

Sir, aap bahut accha kar rahe hain , tution se achcha To aap padha lete hain aap aise hi padhte rahe ham log ko hum Bhagwan se yehi dua karenge ki aap lambe samay Tak jiye aur aap students ko madad Karen thank you very much sir

@utkarshpandey8967 2 жыл бұрын

Thank you very much sir for putting this much effort for us.

@mdnasifmahmudzishan7032 4 жыл бұрын

Sir your videos are just too good and helpful !!!!

@Pkz07 6 ай бұрын

We are grateful that we have such top level mentorship. Concepts have been made so easy to understand. Worth learning!!

@manishdev8695 4 жыл бұрын

Mujhe apka sara video smjh me aa jata hai Thanks you sir for our mentor 🙏🙏🙏

@bhaskarainam7672 2 жыл бұрын

Gajendra sir u r really last minute savior 🔥🔥

@sauravsharma4028 4 жыл бұрын

I m studying ur videos sir for LT exam Thank u so much sir

@ShivaKumar-to6lp 4 жыл бұрын

Sir apki video meri bahut help krti h

@divyeshshethna7502 4 жыл бұрын

Sie, you are really doing fabuloas job. I just request you to upload all videos covering all topics of Mathematics soon.

@cvrcollege9552 4 жыл бұрын

THANK YOU SIR, You saved me from failing in tomorrow examination Now I am confident. Thankyou so much sir... Sir,I have watched sequences and series,multivariate calculus and univariate calculus Far better than my lecturer......... Good examples too... 👌👌👌👌👌👌👌👌👌👌👌👌👌👌👌👌Thankyou so much sir..

@Celebrity_arpit 4 жыл бұрын

Sir your contents are really helpful for mathematics exam,😍😍Thank you Sir for your precious time😇

@sageerahamedkhan7328 4 жыл бұрын

Are sir g maine to phli bar apka video dekha h aj Ksm se sir g mja aaa gya Thank you very much sir

@tahiyatarannum7016 2 жыл бұрын

your lecture really helps us. Thank you very much

@GaganpreetSingh-ft1xi 3 жыл бұрын

Sir , u r really doing well👍💯 Keep it up . ❤️❤️

@yubrajkarki. Жыл бұрын

sir ko keep it up bol ta hai he is very eduacted lecturer and professor samjha tu unke samne piddu hai chota sa nanha sa bachaa ache sey padae kar samja bada aya keep it up bolne wala chachundar k bachhe

@sumanranjanpujari7871 4 жыл бұрын

Sir Taylor theorem cauchy form of remainder yeah bhi chahiye

@simviii_1120 2 жыл бұрын

Very nyc way of teaching 🙏

@swaggypandat7465 4 жыл бұрын

Sir, I suppose that if I understand this video .....So High resolution ....Thank you Sir G 🙏

@MithleshKumar-yy3fe 4 жыл бұрын

Sr after solution u gives some questions related to theorems ,,,, because we can solve the problem ,,,,,,,, And plz provide any reference book preparation for BPSC and UPSC for mathematics

@envfamily9938 2 жыл бұрын

Thank you so much sir....it really helped me a lot for last minute preparation 🙂🙂

@chitratechnical5893 2 жыл бұрын

Sir tan^(-1)π/4 isn't equal to 1.11:50

@ArhamKhan05 Жыл бұрын

Thank you so much sir ❤ you explained it in a very beautiful way

@debashiskar8970 4 жыл бұрын

sir, tan^-1(pi/4)=1 kayse huya ? [2nd problem main]

@user-mx1hm7ju8q 4 жыл бұрын

mistaken, more mistakes done as well

@janvijpatel219 4 жыл бұрын

Greetings sir !! You have a great energy. Your videos are helping me a lot in my preperations😇 you are doing great sir thank you so much 😇

@DineshSharma-ee9qs 2 жыл бұрын

Janvi Patel ji aapki aakhe mregnaini jaisi h yaar mainbloig

@babloo4423 2 жыл бұрын

Same

@sanskarsharma8783 4 жыл бұрын

It's very helpful for me sir thank you very much 😇

@martingamezone6323 2 жыл бұрын

thank you so much sir for making this kind of videos.

@MukundJainBCL 2 жыл бұрын

sir in second question you have made a mistake in putting the value of pi/4 it should be 1 in place of pi/4 but its great video thank u

@imranomar207 2 жыл бұрын

Dear Sir Great job keep it up

@jyotanjalisoni8505 2 жыл бұрын

Tq so much sir for being here ...

@masterdementer Жыл бұрын

11:50 Tan inverse (π/4) is not 1. Tan(π/4)=1. Since its in radians and we are taking inverse I dont think its possible to get the value for that, even tan inverse calculator returned null

@b30luvkumar52 2 жыл бұрын

sir you are god to me , teachers like you are reason why im topping my college .

@jagdevsingh6714 Жыл бұрын

From which state ❓

@lefthooklarry6983 4 жыл бұрын

Your videos have helped me immensely in passing maths 3 . Thanks a lot sir🙏

@vatsalyaupadhyay2028 3 жыл бұрын

Great quality thankyou sir!

@DurgeshKumar-vo9si 2 жыл бұрын

Thank you sir ☺️

@abhiseksahoo7491 3 жыл бұрын

Sir here in one question you've used tan-1(π/4)=1. But it's wrong. But rest of the class is very helpful for me. Thank you sir for uploading such type of videos 👍

@chandlervikramsingh5985 2 жыл бұрын

To kya hota hai chu

@NHCEHarshitTiwary 2 жыл бұрын

Bhai tan inverse(π/4) 38.14 hota hai

@chandlervikramsingh5985 2 жыл бұрын

@@NHCEHarshitTiwary sorry bro bhawanaon me beh gaya the notice Nahi kiya ye tan inverse tha

@chandlervikramsingh5985 2 жыл бұрын

@@NHCEHarshitTiwary 😂😂

@NHCEHarshitTiwary 2 жыл бұрын

@@chandlervikramsingh5985 😂😂😂 lol

@pavanajsridhar939 4 жыл бұрын

sir, you are awesome! But mathematics is all about proofs. There are very few proofs of theorem in your channel and plenty of problems to ace any exam.But I am sure there are math lovers who are ready to learn extensive proofs of various theorems especially from an awesome teacher like you sir. Therefore , I request you to make more conceptional videos with proofs rather than mere statements and assumptions .

@DC-zi6se 2 жыл бұрын

I think this is more for Phyiscs, Stat and Engineering students. Rather than pure math.

@zohaibibrahim1481 Жыл бұрын

Video is so helpful..you are doing a great job....Gud luck

@Rahul_-hy2wj 3 жыл бұрын

Wonderful understanding of concepts

@imuv1008 5 ай бұрын

Taylor Swift❌ Taylor series✅

@lalitasingh9698 3 жыл бұрын

Tomorow is my maths sessional and here i am . 3 more unit to go haha

@rise5am943 6 күн бұрын

Very very sufficient of all your video sir ji 🎉🙏✍️

@Prac847 3 жыл бұрын

Thank you so much sir that you provide very nice lecture

@vashishtdubey8034 3 жыл бұрын

Sir! can you suggest best book for btech first year.

@vashishtdubey8034 3 жыл бұрын

@@FinTechBuzz ok sir

@debjeetdas_0687 4 жыл бұрын

very helpfull sir...ur way of explanation is just amazing..

@satyamppps 4 жыл бұрын

Awesome sir. I am also a physics teacher at kota. I am studying mathematics for my gate paper. U r just awesome.

@ajonson758 3 жыл бұрын

If you are physics teacher at kota then i am maths professor of Stanford University 🤣 Just kidding Don't mind 😃😊

@mohdriyaz1060 4 жыл бұрын

Awesome and very nice video thank you sir 👌👌👌😃😃😃👍👍👍

@nishantpatel6755 3 жыл бұрын

Thanks sir ❤️ But sir last question can also be solved like--. Taking "log x " in LHS and then by property we can write log(1+x/h)and then use expansion we can get the result.🙂

@chandlervikramsingh5985 2 жыл бұрын

No babes can't do that way

@bhaveshvsv8167 2 жыл бұрын

Where are you from bro

@theycallmedinesh 3 жыл бұрын

Sir 11:50 par fx =tan inverse x h wha value 1 nhi aayegi

@biharboardscience 3 жыл бұрын

Yes

@MuhammadShahbaz-kn1lk 4 ай бұрын

thanks sir,it was helpful for me

@PRIYANKAYADAV-qp9bg 4 жыл бұрын

Very helpful video ,thank u so much sir

@anshulsharma1594 Жыл бұрын

Today is my exam so i am here 😅

@ruovinuousou2163 3 жыл бұрын

Sir, What is the difference between Taylor's series and Taylor's theorem?

@anilhanda413 3 жыл бұрын

Thnks sir!!! ❣️U helped alot!!!

@Iimian.....123 17 күн бұрын

India's best last minute saviour for bsc students 😅

@jasobantadas4945 3 жыл бұрын

11:47 thats tan ^ -1(pi/4) and it is not equal to 1 Thank a lot for ur efforts sir

@manpreetkaur1757 2 жыл бұрын

@@cinemann7 no..tan inverse ,,its not like u r saying it..its value cannot be one

@adityamajumder2689 2 жыл бұрын

@@cinemann7 bhaisaab whole inverse mein hota h

@shrantsiddhe 2 жыл бұрын

Yes

@210Asma-ul-Husna 4 жыл бұрын

Sir u told tan inverse pi by 4 =1.. However???

@thefact112 3 жыл бұрын

π = 180

@thefact112 3 жыл бұрын

tan 45 = 1

@meghaverma9506 Жыл бұрын

this content is very very helpful for us thankyou so much sir

@KajalKumari-qc2rx 2 жыл бұрын

Thank you sir.... U r best☺️....

@parameswardash7925 3 жыл бұрын

Real motivation sir ,keep it up sir ,it is more productive 🙏🏾🙏🏾🙏🏾🙏🏾

@yubrajkarki. Жыл бұрын

what u mean by productive kuch bhi comment karta hai haramkhor sir ko keep it up bol raha hai harami sala

@hardikkumar6205 3 жыл бұрын

Sir, can these lectures be useful for BSC students Please reply hurry

@radhikasingh2509 3 жыл бұрын

Of course😎

@indianarmy3987 3 жыл бұрын

🤔

@chaudharigunjan2069 3 жыл бұрын

Thank you sir i learn this topic to watch your video.

@sachinsharmamathsacademy9513 4 жыл бұрын

You are great teacher. Thanks sir

@NumeroCinko 4 жыл бұрын

Sir aapne tan^-1(x) ki jagah tan(x) kar diya hai.. To vo 1 ki jagah 38.14 aa raha hai..

@arpitaroy1044 3 жыл бұрын

Actually that funtion will be tan^-1(π/4). But i can't understand that portion which sir did in the solution.

@NumeroCinko 3 жыл бұрын

@@arpitaroy1044 yeah thats what i am saying... Bcz tan^-1(π/4) = 38.14... And we did this one bcz the formula itself says f(x) = f(a) + (x-a)f'(a) +.... So, in order to find the term f(a), where a = π/4, we simply put it into the formula. So here, f(a) = f(π/4) = tan^-1(π/4) ... Hope it helps✌️

@smit.Mehta.__ 4 жыл бұрын

Sir, I am having great message for that you youTube video are going great and google is taking survey of your youTube. I give your video for 5 ⭐ rating 😃😄