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

question 60

Multiple Choice

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

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

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