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

The problem is as follows:

lim(n→∞)(sum(sin(kθ)/2^{k},k=1,n)

2. Relevant equations

3. The attempt at a solution

I feel like this should converge since sin oscillates between -1 and 1 and 2^{k}keeps getting larger and larger.

Do I have to use power series somehow?

Any ideas, anyone?

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# Tricky limit problem

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