Question
Prove that if $\lim _{n \rightarrow \infty}\left(a_{n} b_{n}\right)=x$ and $\sum b_{n}$ diverges, then $\sum a_{n}$ diverges.
Step 1
Step 1: First, we consider the limit as $n$ tends to infinity of $\frac{a_n}{b_n}$, which is given to be $x$. Show more…
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