Solve the Problem $\mathrm { p } > 0$ And $\mathrm { q } > 1$

question 213

Multiple Choice

Solve the problem.
-If $\mathrm { p } > 0$ and $\mathrm { q } > 1$ , what can be said about the convergence of $\sum _ { n = 2 } ^ { \infty } \frac { 1 } { { } _ { n P } ( \ln n ) ^q } ?$

• A) Always diverges
• B) May converge or diverge
• C) Always converges

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