Question
Show that for a nonzero real number $c,$ if $\sum_{k=1}^{\infty} a_{k}=S$ is a convergent series, then the series $\sum_{k=1}^{\infty}\left(c a_{k}\right)=c S$.
Step 1
Step 1: We start with the given series $\sum_{k=1}^{\infty} a_{k}=S$. Show more…
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