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

I have f(x) = the series x^k/[(k-1)k] summed from x=2 to infinity, and I need to find its closed form. Hint: What is the derivative of f(x)

2. Relevant equations

None.

3. The attempt at a solution

To start this problem, I took the derivative of the series, which makes the general term x^(k-1)/(k-1), which is x + x^2/2 + x^3/3... How do I get a function from this? I know this series looks really familiar, but I can't seem to remember where I've seen it before.

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# Finding a Closed Form from a Power Series

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