Question

Sequence and Series

1. (9 points) Determine whether the sequences listed below are increasing, decreasing,or not monotonic.

\text { a. }\left\{\frac{1 \cdot 3 \cdot 5 \ldots(2 n-1)}{n !}\right\}

\text { b. }\left\{\frac{(-1)^{n} n^{3}}{2 n^{3}+2 n^{2}+1}\right\}

\text { c. }\left\{n^{2} e^{-n}\right\}


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