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This is part 4 of the infinite power tower
0:00 review
1:26 what does (cbrt(3))^(cbrt(3))^(cbrt(3))^... really converge to?
5:40 the 3 shows up!
6:40 the graphs of y=x^x^x... vs x=y^(1/y)
8:05 a very similar example
9:10 x^x^x^...=3 has no solution but x^3=3 does
Lambert W function Intro: • Lambert W Function Int...
*The Satisfyingly Strange Journey to the Infinite Power Tower*
Part1: Solving x^x^3=2 vs. x^x^3=3 • they don’t teach these...
Part2: Solving x^x^...=2 vs. x^x^...=3 • Infinite Power Tower E...
Part3: Domain and Range of y=x^x^... • Domain and Range of th...
Part4: Why (cbrt(3))^(cbrt(3))^... converges to 2.4 and NOT 3? • Why it doesn't converg...
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