sum_{n=1}^{infty}(-1)^{n+1} frac{n^{2} 2^{n}}{n!}
Added by Hl F.
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Step 1
This means that the terms of the series alternate in sign. The general term of the series is a_n = (-1)^(n+1) * n^2 * 2^n / n!. We can apply the Alternating Series Test to determine if the series converges. The test states that if the terms a_n are decreasing Show more…
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