- #1
upsidedowntop
- 28
- 0
Homework Statement
[itex]\sum_1^\infty \frac{n^2}{n!} = [/itex]
The Attempt at a Solution
Context: practice Math GRE question I don't know how to answer.
Well, it's bigger than e and converges by the ratio test. Adding up the first 5 or 6 terms suggests that it converges to 2e. That's good enough for a standardized test, but I'd like to know how to handle this series legitimately.
Thanks in advance for any help.