The sum of the infinite series \[\frac{1}{2!}+\frac{2}{3!}+\frac{3}{4!}+\frac{4}{5!}+......\]is [AMU 1999]

The sum of the infinite series \[\frac{1}{2!}+\frac{2}{3!}+\frac{3}{

1.	The sum of the infinite series \[\frac{1}{2!}+\frac{2}{3!}+\frac{3}{4!}+\frac{4}{5!}+......\]is [AMU 1999]
A.	\[e-2\]
B.	\[\frac{2}{3}e-1\]
C.	1
D.	44230
Answer» D. 44230

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The sum of the infinite series \[\frac{1}{2!}+\frac{2}{3!}+\frac{3}{4!}+\frac{4}{5!}+......\]is [AMU 1999]

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