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ο 90. If the series Σε, εοαν 90. If the series an converges and an > 0 for all n, which of the following must be true? 1=1 (Β

If the series \(\sum_{n=1}^{\infty} a_{n}\) converges and \(a_{n}>0\) for all \(n\), which of the following must be true?

(A) \(\lim _{n \rightarrow \infty}\left|\frac{a_{n+1}}{a_{n}}\right|=0\)

(B) \(\left|a_{n}\right|<1\)for all \(n\)

(C) \(\sum_{n=1}^{\infty} a_{n}=0\)

(D) \(\sum_{n=1}^{\infty} n a_{n}\) diverges.

(E) \(\sum_{n=1}^{\infty} \frac{a_{n}}{n}\) converges.

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