Real Analysis | Continuity of Function | Definition & Examples Of Continuity

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This video lecture of Real Analysis |Real Analysis | Continuity of Function | Definition & Examples Of Continuity | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand the following topic of Mathematics:
1. What is the Continuity of Function in Real Analysis?
2. Short Trick To Find Continuity of Function.
3. Definition and Example of Continuity of Function.
4. Sequential Definition Of Continuity of Function.
5. This helpful For CSIR NET, IIT-JAM, GATE Exams.
6. This is Part Of Real Analysis.
#RealAnalysis #Continuity #ContinuityOfFunction #ShortTrick #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 & M.Sc./M.Tech. students also preparing for NET, GATE, and IIT-JAM Aspirants.
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Time Stamp
Continuity of function-
0:00 | An Intro
0:23 | Topic Introduction
0:53 | Cauchy’s definition of continuity
2:35 | Arithmetical definition
3:09 | Continuity in open interval
3:25 | Continuity in closed interval
3:45 | Question 1
4:31 | Question 2
5:22 | Question 3: Trick to find continuity of function
7:09 | Question 4
10:06 | Sequential definition
10:52 | Another definition
11:54 | Example
13:16 | Question
14:27 | Conclusion of video
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Dr.Gajendra Purohit

Пікірлер: 164

@gajendrapurohit 3 жыл бұрын

Join Me On Telegram For Important Updates - t.me/mathbygpsir 🔥👍

@mahnoornoorakbar1493 Жыл бұрын

Thanks

@mayanktiwari2650 2 жыл бұрын

Sir please explain in detail.we can also read it from the screen but the thing is we need detail explantion.

@silentffx6232 9 ай бұрын

Sahi baat ye khud ko teacher btata hai lkin smjhana ghnta nhi aata aur students pta nhi aisa kya dekh lete h ki best teacher bol rhe

@fuego18 9 ай бұрын

@@silentffx6232exactly yaar muze to kuch palle Nahi padta

@bhatthimanshu827 7 ай бұрын

Slide Banao or video me read kr do... Bas best teacher ban jao

@manishachodiya9328 5 ай бұрын

Aap iske start se kyu nahi dekhte bich me to wese bhi kuch samjh nahi ata real analysis ke first video se dekho I hope aap ko samjh aayega

@YuvrajSingh-bz7mq 4 ай бұрын

Ye to seedha seedha bta diya professor 0 marks dega aise continuity solve karke aaunga to

@Da_Wud 3 жыл бұрын

Sir u r putting ur efforts here . So plz but in such a way so that a student who knows nothing can get ur lectures. U r teaching in nice way but u r teaching very very fast and don't show questions properly. U don't make us understand the language like f (x) etc . U simply say statement & also do questions verbally with showing so that we can't get confused. Now what is fun of doing PhDs csir . Look towards hc verma . He reaches physics even 1 grade students will understand what is he trying to say us ...

@spydiary636 2 жыл бұрын

U r right bro

@apnimathematics8735 Жыл бұрын

Same condition

@NHRaz Жыл бұрын

Exactly bro

@Hogwarts777 Жыл бұрын

Finally someone said it, Sometimes sir just translate whatever is written but he doesn't explain it well!!!!

@nikhilthakur009 Жыл бұрын

You can't understand language f(x) have you started reading Real Analysis in class 8 itself 😂😂 Comeon Buddy

@siddharthkhonama3306 Жыл бұрын

Make your teaching way slowly so whole students can understand easily your explanation. Thank you Sir

@kidsmania1524 Жыл бұрын

I'm watching in 2x 💀

@avneeshkartik 10 ай бұрын

@@kidsmania1524me 1.5

@Iamuselessboy 10 ай бұрын

@@kidsmania1524I have my exam today from 10 I am watching this at 9

@pawanbhardwaj4769 7 ай бұрын

@@kidsmania1524 also me 😅🤣

@souvik.fingtore 17 күн бұрын

I will definitely share this video with my college professor & I am sure he will learn to teach properly.

@Gucci001-uy7cy 3 ай бұрын

Ye channel bhi bahut acha hai.. issey bhi help milti hai mujhe: *The hidden library of mathematics* Dr khetan padhate hai .. wo iit cmi tifr se hai.. amazing teacher

@swadhamishra7159 2 жыл бұрын

Sir jab bhi aapke videos dekhte hu toh kuch naye concept dikh te hu..You are awesome sir...Love from assam 😊

@Mayankagrawal974 3 жыл бұрын

Sir AAP bht speed padhate ho sir.........Content Aapka acha rehta hai Lekin AAP bullet train ki speed se padhate........Mere jaise average student k liye difficult ho jata hai samajhna.....

@sscaspirant299 2 жыл бұрын

Bhai video ke upar me jo 3points hote hain usi par touch karoge to playback speed ka option aayega wahin se normal se kam kar lo video ki speed slow ho jayegi

@fashiontrendz745 3 жыл бұрын

Sir AP BHT acha prhaty Hain but speedely bolty hain.thora slow slow bola kren r zada explain Kia kren

@Banjade88 3 жыл бұрын

f(x)=|x|+|x-1| if x0 then f(X)= x+x-1=2x-1 so it a humble to check the solution.... i think it will as above.

@user-zs8yb4wx9h 11 ай бұрын

Thank you sir keep helping us

@DIGIMARK12 3 жыл бұрын

Great sir. Zabardast

@abhaypandey865 2 жыл бұрын

Great work sir

@deepshikhashahi8660 2 жыл бұрын

Thanku sir ji🙏🙏

@WaqasAli-tg1od 3 жыл бұрын

Hain na hain na hain na....thanks sir smj aa gia

@arnavlearningandgamingchan7630 8 ай бұрын

Thankyou so much sir 🌺

@mehbubhassan3797 Жыл бұрын

Congratulations sir for 1M subscribe.

@sarikatriathi6233 3 жыл бұрын

Sir plz boolean algebra topic pe video bnaiye

@arunnagargoje1439 8 ай бұрын

Very nice teaching Sir

@NRUSINGHAPRASADMAHAPATRA 3 жыл бұрын

Thanks sir 😊

@aakritibhuriya7828 3 жыл бұрын

thank you sir!

@mustafijurrahaman6596 3 жыл бұрын

Awesome video

@yoman9446 3 жыл бұрын

Sir please make videos of Difference Equation. You promised but never uploaded them. Please!

@Rakeshkumar-jf4ty Жыл бұрын

Very nice sir 🙏 🙏 🙏 🙏

@mathsloversjn3453 3 жыл бұрын

V nice explain sir

@chhotiverma4 3 жыл бұрын

Thank you sir

@Rp63888 2 жыл бұрын

Nice class sir 🙏🙏🙏🙏

@user-qe6sr7vv8z 5 ай бұрын

Thank you sir 😀

@Chiraggurjar177 Жыл бұрын

Thank you sir ji

@tahafatima8067 3 жыл бұрын

also very heplfull 🥰

@ankitamishra4848 2 жыл бұрын

Thanks sir Radhey Radhey

@mdbgamer6825 3 жыл бұрын

Sir interpolation with equal intervals pe vedeo banao plz

@bsb9313 2 жыл бұрын

Isn't it for integrated MSc students also? I don't find these things like this in the book

@thanuprajapati5414 3 жыл бұрын

Tq sir 😍

@tahafatima8067 3 жыл бұрын

kia sahe time pe dali hai video hehehe need it alot

@siddheshthakur8079 2 жыл бұрын

Thanks

@rishabhkumar1631 3 жыл бұрын

Sir plz make videos on graph theory 🙏

@navjotsingh8499 3 жыл бұрын

Improvement karne ki zarorat hai abi apne to basic se btaya e nahi kush, kafi kush shod diya sir apne

@ankita5326 3 жыл бұрын

Thank you so much Sir🙏🙏

@shreyagupta3692 2 жыл бұрын

Thanks sir...... You are great 👍

@bhawanshsharma7670 3 жыл бұрын

Nice sir

@adityamajhi5241 3 жыл бұрын

Series topic in real analysis all tests for convergence plz

@ghumaangaming6993 3 жыл бұрын

Hmm

@kajalsoni6597 2 жыл бұрын

Sir yee jo sequence let karte h vo kis base pe karenge

@ishtiyakansari4124 3 жыл бұрын

Sir maximum video upload kariye please sir

@chotutalks2726 2 жыл бұрын

Thx sir

@ayahvirtual9814 3 жыл бұрын

sir. Walter rudin ki book parha den pori 'principles of mathematical analysis'

@starboy664 3 жыл бұрын

Sir differentiability Ka video banyiye

@MrNobodyriyaz 2 жыл бұрын

I'm class 12 student . Sir you have cleared my consept . Thank you so much ❤️

@user-gq9cn8gw3r 3 жыл бұрын

Sir aapne sabhi students ko promise kiya tha. ki yadi hme aapki koi help ki jrurat ho to aapse jarur milegi 🙏🏻🙏🏻🙏🏻plzz sir 🙏🏻 help us.

@bhawanshsharma7670 3 жыл бұрын

When 2nd video of continuity is coming😘😘😘

@anikakhatun7919 2 жыл бұрын

Sir Sequential criterion pe ek video chaiye. please. 😟🙏🙏🙏🙏🙏🙏

@ghumaangaming6993 3 жыл бұрын

Very helpful

@abhaypratap2490 Жыл бұрын

SIR WHY WE CHOOSE An=1/npie and Bn=1/(2n+1)pie/2

@s.s1349 3 жыл бұрын

Superb teaching 🙏🏻

@balrajvirat6377 Жыл бұрын

Your insta id send me sir

@Maths.Com_ Жыл бұрын

Sir in the last question Dirchlet function is written wrong,it should be 0 when x is irrational...

@kaka387 3 жыл бұрын

Sir is say nxt ju bh video hy us ka link mujy bhj dainجزاک اللّٰه

@AdityaSingh-uz1lj 2 жыл бұрын

Sir kya ye jaroori h ki agar limit exist nhi kar rahi h to is point pe function continuous nhi hoga ???

@__2.lines__001 Жыл бұрын

Sar thoda sa slow bata doge to achche se smjh aayega.........kai baar to smjh hi nhi hai......speed me to bss video ki length Kam hogi but smjh to sahi se aayega nhi........ sometimes hm confused ho jate hain....

@anupsawah3105 3 жыл бұрын

Sir cauchy 2nd theoram ki vedio bhi dal do plzz

@Rahejannat-660 2 жыл бұрын

Sir master level pr bhi vedios upload kr dain

@dyatlov5958 3 жыл бұрын

Next video fast plz

@a29lgaming28 11 ай бұрын

Ganta mujhe nahi samaj me aia wo x-1 wala concept 😢

@myworld-mj5hc 3 жыл бұрын

Totally craming

@SummationAlphaAcademy 3 жыл бұрын

Very nice 👌👌👌

@SanjeetKumar-bg1jz 10 ай бұрын

Thank you so much sir mai Raveena

@devanshumishra975 3 жыл бұрын

The example no second is discontinuous sir please make me clear

@ravindrasinghbisht8122 Жыл бұрын

sir mode wale question me x ki value 0 or 1 ke beach me kue lete hai

@shivanitripathi4877 2 ай бұрын

]-2,1] and ]-8,6[ what type of intervals are this ?

@PCMByNitish 2 жыл бұрын

Sir 2021 ki BSC first year ki limit an continue ka lecture link send kijiue

@vivi31342 Жыл бұрын

For (0

@harshlodhi6265 Жыл бұрын

Same doubt...

@aartigupta8512 Жыл бұрын

If X

@ankitbisht6585 Жыл бұрын

But limit as 1 is not given

@a29lgaming28 11 ай бұрын

😢 same bhai agar 1 kam kr hi dia to fir wo waha pe dobara kya kr raha h...

@superboy3633 11 ай бұрын

@@aartigupta8512 👍

@stgamer7341 Жыл бұрын

Desh ka no1 maths lecture sir aap

@kumarsumit2319 2 жыл бұрын

sir you are great but thoda hindi me bhi boliye english samjh kaam aati hai

@rohitnishad3123 2 жыл бұрын

Green bord is too good

@parikhd220 Жыл бұрын

Hlw sir aapka course kese le

@adityaraterwal7814 3 жыл бұрын

Sir you teach in green board

@friendship113 3 жыл бұрын

1 st view mine

@Nitingautam-ut6ky Жыл бұрын

Sir aap itni hi short video banate ho ya short kar dete ho

@Stuudy-ev5ot Ай бұрын

4 bari right right kar k change karoge question k solution ko vo bhi jaldi jaldi to kya samaj aaega sir

@MunnaKumar-km7fw 3 жыл бұрын

Ham aapse kisi topic par baat karna chahate hai sir

@mathematicsclick Жыл бұрын

L.h.limit and R.h.limit

@ezazgori6352 2 жыл бұрын

Sir sin 1/x mai agar x=0 lenge tou phir woh tou undefined hoga na Correct me if i am wrong P.S :- No Trolls please

@sscaspirant299 2 жыл бұрын

infinity aata hai aur sin1 se sin360 tak ki value 1 se -1 ke beech me hi hoti hai n isiliye 1 and -1 ke beech oscillat karegi

@multitalentedbanda152 3 жыл бұрын

Sir apne jo 12.50 me example liya usme an is equal to 1/npi kaisai hua plz bataie plz sir reply me

@sscaspirant299 2 жыл бұрын

12:50

@sscaspirant299 2 жыл бұрын

Kyunki sinpi=0 , sin2(pi), sin3(pi)........isiliye sin n(pi) =0 suppose kar sakte hain ki nhi

@manishagupta7305 Жыл бұрын

👍

@abrarsalazar 6 ай бұрын

Sir ist enhance your way of teaching and u never explain u read what,s in the board which we can see but where the equation come from u never elloberate the concept 😢😢

@MunnaKumar-km7fw 3 жыл бұрын

Sir ham aapse kuchh baat karna chaahate hai sir

@laboliadecor2159 8 ай бұрын

Alakh pandey sir ke students be like:hamare sir se padhana sikh lo

@anushkagupta6716 9 ай бұрын

256 BAR RIGHT!!!!😂😂

@sejalchoubey8178 2 жыл бұрын

Sir please speak little bit slow u tell everything is very fast 🙏

@user-vo6tz2pl9z Жыл бұрын

☺

@anjalimaddheshiya8326 3 жыл бұрын

Sir... Plz relax...kuch nhi smjh aa rha Thoda pen bhi chla lo aap🙃🙃

@Pappaplayer 3 жыл бұрын

sir where can we use this theorem in real life sir

@Amin10XD 3 жыл бұрын

Nowhere 😂 Sab bekar hai

@Ankit-zv7lz 2 жыл бұрын

The fact that you think you can use a theorem in real life *facepalm* you don't use a,b,c,...z in real life you use them to form letters which in turn is used to form sentences which form paragraphs like the one I am using Continuity is a "property" of a function , everything that deals with a change wrt to a variable in real life can be formulated as a Differential Equation from stocks of share market to constructing a dam and how do you solve differential questions?

@Ankit-zv7lz 2 жыл бұрын

@@Amin10XD mathematics is a tool used by different branches to deal with their problems even the phone you are using exist because of mathematics calculus is the base , the foundation for everything (yes there are some exceptions) When you have to construct a house you don't buy cement and bolte ki chalo Ghar banate hai cement itself is useless unless combined with sand and gravels which then when used with bricks forms the outer layer of your house they independently have no use