Solve the Problem $\sum a _ { n }$ Is a Convergent Series of Nonnegative Terms, What Can Be

question 238

Multiple Choice

Solve the problem.
-If $\sum a _ { n }$ is a convergent series of nonnegative terms, what can be said about $\sum n ^ { k } a _ { n }$ , where $k$ is a positive integer?

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

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