Have you tried the ratio test? I think it works on both of them.
Determine if convergent/divergent
1. (1 + 1/n)² * e^-n (This one Converges)
(for this one I keep getting 0. Don't know what to do. I know theres a limit where (1 + x/n)^n = e^x, and the first term kind of looks like that, except the exponent isn't an "n" so I don't think it works).
2. 2n² + 7n / (3^n * (n² + 3n -1))
(for this one I really am clueless. I wanted to take out the 3^n but that didn't help, just gave me a zero for my overall answer. I'm on limit comparison so maybe I have to do that but I don't know how.)
Please help me!!! I want to learn this stuff well!! Thank you!