Mathematics Sequences and Series Special Series

What is the value of \({1\over2!}+{1\over4!}+{1\over6!}+\ ...\ \infty\)?

1
e2
2
\(\rm{e\ -\ e^{-1}\over2}\)
3
\(\rm{e\ +\ e^{-1}\over2}\)
4
None of these.

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