(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

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Prove the inequality

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**