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Math Help - Calculus: Series Convergence and Divergence

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    Angry Calculus: Series Convergence and Divergence

    Consider the series (from n=2 to infinity) , p>= 0

    A) show the series converges for p > 1
    B) determine if the series converges for p=1
    C) Show the series diverges for 0<= p< 1

    Thanks for the help!
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    Re: Calculus: Series Convergence and Divergence

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    Re: Calculus: Series Convergence and Divergence

    Thanks! I understand that for parts A and B, but for part C would it be a test for divergence? and what test would that be?
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    Re: Calculus: Series Convergence and Divergence

    Quote Originally Posted by mathmann View Post
    Thanks! I understand that for parts A and B, but for part C would it be a test for divergence? and what test would that be?

    If 0<p<1~\&~n>1 then \frac{1}{n^p\log(n)}>\frac{1}{n\log(n)}
    Thanks from emakarov
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