Finding radius of convergence for 100^n(x+7)^n/n!

[lockedup]

Homework Statement

Find the radius and interval of convergence of the given power series.

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

Homework Equations

Ratio Test

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?

 

[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.