Mathematics

Mathematics

Problem

For what real values of

p

does the series

\displaystyle\sum_{n=2}^{\infty}\frac{1}{n(\ln n)^{p}}

converge? a) It converges for all

p>0

. b) It converges for

p\ge 1

and diverges for

p<1

. c) It converges for

p>1

and diverges for

p\le 1

. d) It does not converge for any real

p

.

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