(a) Suppose that $\Sigma a_{n}$ and $\Sigma b_{n}$ are series with positive terms and $\Sigma b_{n}$ is comvergent. Prove that if\[\lim _{n \rightarrow \infty} \frac{a_{n}}{b_{n}}-0\]then $\Sigma a_{n}$ is also comvergent.

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