?If $\Sigma a_{n}$ is a convergent series with positive terms, is it true that

Chapter 10, Problem 53

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If $\Sigma a_{n}$ is a convergent series with positive terms, is it true that $\Sigma \sin \left(a_{n}\right)$ is also convergent?

Equation Transcription:

$\Sigma{}{a}_{n}$

$\Sigma{}sin\ ({a}_{n})$

Text Transcription:

Sigma a sub n

Sigma sine (a sub n)

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?If \(\Sigma a_{n}\) is a convergent series with positive terms, is it true that