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

question 450

Multiple Choice

Solve the problem.
-If $\mathrm { p } > 1$ 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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Definitions:

Interdependent

Mutually reliant on each other, where the actions or outcomes of one entity or process affect another.

Wirelessly

Refers to the transfer of information or power between two or more points that are not connected by an electrical conductor.

Biometrics

A method of identifying individuals based on physical or behavioral characteristics, used for security and access control.

Authenticate

The process of verifying the identity of a user or device, often as a security measure.