(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

prove the inequality.

2. Relevant equations

(in the attached file.)

3. The attempt at a solution

The derivative of (1/2)^m where m=2^n is exactly what I need. But I can’t find the sum of (1/2)^m (because as it’s not geometric series, m doesn’t run from 0 to inf).

by the way, am I allowed to make a derivative to this sum (I know I need to prove first that it uniformly converges?

- Another way I tried - to find a Riemann sum that suits this sum (I mean - f(x), Delta-X, and points in the intervals, to find an integral of the sum - but couldn't find a good one.)

Thanks for the help

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# Prove the inequality

Can you offer guidance or do you also need help?

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