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Thanks! How does one find the radius of convergence for a power series?

\[lim\frac{a_{n+1}}{a_{n}}:\ \lim_{n\to inf}\frac{-x^{n+1}}{n+1}*\frac{n}{-x^{n}}\]

\[lim\frac{-x*n}{n+1}\to\ |-x|\lim\frac{n}{n+1}\]
\[|-x|*1\]
set it up such that: \[|-x|<1\]and simplify such that |x|

Hahaha thanks so much for all of your help!

when x=-1; you get ln(2) right?

http://www.wolframalpha.com/input/?i=sum+-%28-1%29%5E%28n%2B1%29%2F%28n%2B1%29%2C+n+%3D+0+to+inf

i think when we go beyond the radius of convergence is when we get iffy in values