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CalculusMediumInfinite Sequences and Series

Infinite Sequences and Series · Medium problem

Find the exact sum of ∑n=0∞(−2)nn!=1−2+42−86+1624−⋯\displaystyle\sum_{n=0}^{\infty}\frac{(-2)^n}{n!}=1-2+\frac{4}{2}-\frac{8}{6}+\frac{16}{24}-\cdots.