Thread: Two Problems (Series) I'm clueless with (Comparison, nth term test etc...)HELP PLEASE

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!

Have you tried the ratio test? I think it works on both of them.

- Hollywood