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Math Help - Two Problems (Series) I'm clueless with (Comparison, nth term test etc...)HELP PLEASE

  1. #1
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    Two Problems (Series) I'm clueless with (Comparison, nth term test etc...)HELP PLEASE

    Determine if convergent/divergent

    1. (1 + 1/n) * 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. 2n + 7n / (3^n * (n + 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!
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  2. #2
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    Re: Two Problems (Series) I'm clueless with (Comparison, nth term test etc...)HELP PL

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

    - Hollywood
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