$\text { Find the positive values of } p \text { for which the series } \sum _ { n = 2 } ^ { \infty } \frac { 1 } { n ( \ln n ) ^ { p } } \text { converges. }$

Question

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The Answer of $\text { Find the positive values of } p \text { for which the series } \sum _ { n = 2 } ^ { \infty } \frac { 1 } { n ( \ln n ) ^ { p } } \text { converges. }$

A) Converges For $p > 0$ B) Diverges Only At $p = 1$

Definitions:

A) Converges For p>0p > 0p>0 B) Diverges Only At p=1p = 1p=1

Definitions:

A) Converges For $p > 0$ B) Diverges Only At $p = 1$