## MathSofiya 2 years ago Find a power series rep for the function and determine the interval of convergence: $f(x)= \frac{1}{x+10}$ $f(x)=\frac{1}{10}*\frac{1}{1-(-\frac{x}{10})}$ $\sum_{n=1}^{\infty} \frac{1}{10} (-\frac{x}{10})^n$ $\sum_{n=1}^{\infty} \frac{1}{10} (-1)^n\frac{x^n}{10^n}$ $r=\frac{x}{10}$ $|\frac{x}{10}|<1$ $-10<x<10$ R=10 I believe this is correct

1. TuringTest

and again, I believe you are right :)

2. MathSofiya

Good. Thanks!