text suppose the series sum_k1infty a_k text converges and a_k0 text u
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Question
\text { Suppose the series } \sum_{k=1}^{\infty} a_{k} \text { converges and } a_{k}>0 \text {. Use comparison test to show that the series } \sum_{k=1}^{\infty} \frac{2 a_{k}}{4+a_{k}} \text { also converges. }