Question
Proof Suppose that $\Sigma a_{n}$ and $\Sigma b_{n}$ are series with positive terms. Prove that if$\lim _{n \rightarrow \infty} \frac{a_{n}}{b_{n}}=0$and $\Sigma b_{n}$ converges, then $\Sigma a_{n}$ also converges.
Step 1
Step 1: Given that $\lim _{n \rightarrow \infty} \frac{a_{n}}{b_{n}}=0$ and $\Sigma b_{n}$ converges, we need to prove that $\Sigma a_{n}$ also converges. Show more…
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