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Math Help - convergence and comparison test help

  1. #1
    Junior Member
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    convergence and comparison test help

    hello, im studying for a midterm by reviewing past homework assignments.

    could anyone tell me how to apply the convergence test to the following problem to determine convergence/divergence?

    infinite
    sigma (ln n)/n^3
    n=1
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by wyhwang7 View Post
    hello, im studying for a midterm by reviewing past homework assignments.

    could anyone tell me how to apply the convergence test to the following problem to determine convergence/divergence?

    infinite
    sigma (ln n)/n^3
    n=1
    |\ln(x)|<|x| for x\ge 1, so \left|\frac{\ln(n)}{n^3}\right|<\left|\frac{1}{n^2  }\right| when n\ge 1, and you should know that \sum_{n=1}^{\infty} \frac{1}{n^2} converges absolutely

    CB
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