# Math Help - Sum of a Natural Log Series

1. ## Sum of a Natural Log Series

How do I find the sum of this series? 1 + ln 2 + (ln 2)2/2! + ... + (ln 2)N/N! + ...

2. ## Re: Sum of a Natural Log Series

Originally Posted by JRH
How do I find the sum of this series? 1 + ln 2 + (ln 2)2/2! + ... + (ln 2)N/N! + ...
Here is a big hint:
$\sum\limits_{k = 0}^\infty {\frac{{{x^k}}}{{k!}}} = {e^x}$