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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Use the integral test for convergence.
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?
Originally Posted by mathmann 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 $\displaystyle 0<p<1~\&~n>1$ then $\displaystyle \frac{1}{n^p\log(n)}>\frac{1}{n\log(n)}$
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