A calculus problem by Satvik Choudhary

Calculus Level 4

If x n + 1 = 1 2 ( 1 + x n ) x_{n+1}=\sqrt { \frac {1}{2} (1+x_{n})} , then

cos ⁡ [ 1 − x 0 2 x 1 x 2 x 3 . . . ∞ ] \cos [\frac {\sqrt{1-x_{0} ^{2}}}{x_{1}x_{2}x_{3}...\infty}]

∣ x 0 ∣ < 1 |x_{0}|<1 is equal to

x 0 x_{0} 1 1 − x 0 2 \sqrt {1-x_{0} ^{2}} 1 / x 0 1/x_{0} -1

Satvik Choudhary by Satvik Choudhary , 23, India

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2 solutions

Sk Kumar
Oct 29, 2020

Start with substitute x0

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Isaac Buckley
Aug 16, 2015

You might want to remove this problem as the exact same one has already been posted by me.

Problem credit goes to my friend who showed it to me, but I believe it comes from a practise JEE paper.

Here it is .

0 Helpful 0 Interesting 0 Brilliant 0 Confused

chill bro... a problem is not a copyright that he must delete that immediately.... :) Nothing will happen

Md Zuhair - 2 years, 1 month ago

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