...Hi to you,

Q: Find the Maclaurin series of .

Also find the associated radius of convergence.

A: So far I have found this:for the first part

.

so it follows that:

.

and so:

n going from 0 to infinity. n = 1 to infinity

That is:

fine

I am right for the first part?

Second part:

I did the ratio test and I got that the limit is smaller then 1. yes, 0 is < 1

Therefore the sum is absolutely convergent...??? correct