For what values of [tex]x\in\mathbb{R}[/tex] does the series converge?(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\sum_{n=0}^{\infty}ne^{(-nx)}[/tex]

I found this problem on the internet and couldn't solve it. Thanks for your help.

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

Dismiss Notice

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!

# Convergence of a Series

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