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Math Help - converge or diverge?

  1. #1
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    converge or diverge?

    Does the series converge or diverge?

    Also, can u please identify what kind of series this is?

    A_n = n^3/n!

    thanks for any help
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  2. #2
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    Quote Originally Posted by rcmango View Post
    Does the series converge or diverge?

    Also, can u please identify what kind of series this is?

    A_n = n^3/n!

    thanks for any help
    Ratio test,

    (n+1)^3/(n+1)! * n!/n^3

    (n+1)^3/(n+1)n! * n!/n^3

    (n+1)^3/(n+1)n^3

    (n+1)^2/n^3

    (n^2+2n+1)/n^3

    1/n+2/n^2+1/n^3 --> 0
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by ThePerfectHacker View Post
    Signature: A sequence of uniformly continous functions which converge uniformly, converge to a uniformly continous function.
    I remember that line
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