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10-43.

Suppose that $S = \displaystyle \sum _ { n = 1 } ^ { \infty } a _ { n }$ is a convergent series of non-negative terms. Explain why the series $T = \displaystyle\sum _ { n = 1 } ^ { \infty } \frac { a _ { n } } { n }$ will also converge. Homework Help ✎

Use the Comparison Test.