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Math Help - reimann sum

  1. #1
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    reimann sum

    SUM n_infinity (n^2 - 1)/(3n^4 + 1)

    can u identify what series this is, also if this converges or diverges.

    thanks for any help.
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  2. #2
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    Quote Originally Posted by rcmango View Post
    SUM n_infinity (n^2 - 1)/(3n^4 + 1)

    can u identify what series this is, also if this converges or diverges.

    thanks for any help.
    Use the "Limit Comparison" Test with n^2/n^4 = 1/n^2

    Since,

    SUM (1/n^2) converges by p-series test.
    Thus does this one.

    And this IS NOT a Riemann sum.
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