I thought it seemed weird that three of the radii were 1, thanks for checking them over :)
May I inquire which part of (e) you think I might have stumbled? Is it from:
\lim_{n\rightarrow\infty} \frac{(n+1)!x^(n+1)}{(n+1)^2} * \frac{n^2}{n!x^n} = \lim_{n\rightarrow\infty}...
Radius of convergence, interval of convergence
Homework Statement
Find the radius of convergence and the interval of convergence of the following series.
a) \sum_{n=0}^\infty \frac{x^n}{(n^2)+1}
c) \sum_{n=2}^\infty \frac{x^n}{ln(n)}
e) \sum_{n=1}^\infty \frac{n!x^n}{n^2}
f)...