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Math Help - Proving convergence of divergence of a series.

  1. #1
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    Proving convergence of divergence of a series.

    Thanks for the help... there is one more that I can't get.

     \sum_{n=1}^{\infty} \frac{n}{n \sqrt{n} + 2}

    I just have trouble seeing how to prove they converge or diverge. I guess I just need to practicing them!
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  2. #2
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    Quote Originally Posted by Benno_11 View Post
    Thanks for the help... there is one more that I can't get.

     \sum_{n=1}^{\infty} \frac{n}{n \sqrt{n} + 2}

    I just have trouble seeing how to prove they converge or diverge. I guess I just need to practicing them!
    Note that  \frac{n}{n \sqrt{n} + 2} >  \frac{n}{n \sqrt{n} + n \sqrt{n}} for n > 1. Now use the comparison test.
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