# Simple power series problem

1. Apr 8, 2009

### lockedup

1. The problem statement, all variables and given/known data
Find the radius and interval of convergence of the given power series.

$$\sum$$$$^{\infty}_{n=0}$$$$\stackrel{100^{n}(x+7)^{n}}{n!}$$

2. Relevant equations
Ratio Test

3. The attempt at a solution
My real question is: Can the radius be 0? Cuz that's what I get. Would the radius just be x?

2. Apr 9, 2009

### Dick

The radius of convergence of a power series could be zero. But I don't think that one is. If you got 0 for the limiting ratio, that would actually imply an infinite radius of convergence.