Consider the following series. [ sum_{n=1}^{ infty} left( frac{3}{e^{n}}+ frac{1}{n(n+1)} right) ] (a) Determine whether the series is convergent or divergent. convergent divergent (b) If it is convergent, find its sum. (Otherwise enter DNE.)

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Consider the following series.  [  sum_{n=1}^{ infty} left( frac{3}{e^{n}}+ frac{1}{n(n+1)} right)  ] (a) Determine whether the series is convergent or divergent. convergent divergent (b) If it is convergent, find its sum. (Otherwise enter DNE.)

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Expert Answer to -   Consider the following series.  [  sum_{n=1}^{ infty} left( frac{3}{e^{n}}+ frac{1}{n(n+1)} right)

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Solution for -   Consider the following series.  [  sum_{n=1}^{ infty} left( frac{3}{e^{n}}+ frac{1}{n(n+1)} right)

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This an additional answer to -   Consider the following series.  [  sum_{n=1}^{ infty} left( frac{3}{e^{n}}+ frac{1}{n(n+1)} right)

(Solved): Consider the following series. \[ \sum_{n=1}^{\infty}\left(\frac{3}{e^{n}}+\frac{1}{n(n+1)}\right) ...

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