The sum of the infinite series

\(S=\frac{1}{2}+\frac{1}{3 \times 1 !}+\frac{1}{4 \times 2 !}+\frac{1}{5 \times 3 !}+\cdots\)

is equal to

1
1/e
2
e
3
1 + 2/e
4
1

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