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AllRelative

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## Homework Statement

This is from a complex analysis course:

Find radius of convergence of

$$\sum_{}^{} (log(n+1) - log (n)) z^n$$

## Homework Equations

I usually use the root test or with the limit of ##\frac {a_{n+1}}{a_n}##

## The Attempt at a Solution

My first reaction is that this sum looks like a telescoping sum. But since the term ##z_n## is there, it doesn't cancel out.

Then I thought I could split the sum in two:

## \sum_{}^{} log(n+1)z^n - \sum log (n)z^n ##

But I am not sure whereto go from there.Thanks for the help!

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