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Thread: diverges or converges?

  1. #1
    Senior Member
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    diverges or converges?

    Does the series

    infinity n(sin(1/n)) converge?
    E
    n=1


    This series does not alternate, I think it diverges because there is no sum.

    thanks for any help with this one.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by rcmango View Post
    Does the series

    infinity n(sin(1/n)) converge?
    E
    n=1


    This series does not alternate, I think it diverges because there is no sum.

    thanks for any help with this one.
    As \lim_{n \to \infty} n \sin(1/n) \to 1 the series diverges.

    RonL
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