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Math Help - series-concept question

  1. #1
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    series-concept question

    give an example of a pair of series \sum_{}an and \sum_{}bn with positive terms where \lim_{n\to{\infty}}\frac{an}{bn}=0 and \sum_{}bn diverges, but \sum_{}an converges.

    i'm not really sure where to start..please help?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by buttonbear View Post
    give an example of a pair of series \sum_{}an and \sum_{}bn with positive terms where \lim_{n\to{\infty}}\frac{an}{bn}=0 and \sum_{}bn diverges, but \sum_{}an converges.

    i'm not really sure where to start..please help?
    a_n=1/n^2 and b_n=n

    CB
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