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The sum of the series `(1)/(2!)-(1)/(3!)+(1)/(4!)-(1)/(5!)`+….up to `infty` is
A. `e^(-1//2)`
B. `e^(1//2)`
C. `e^(-2)`
D. `e^(-1)`

1 Answer

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Best answer
Answer:
We have
`(1)/(2!)-(1)/(3!)+(1)/(4!)-(1)/(5!)`+…
`=1-(1)/(1!)+(1)/(2!)-(1)/(3!)+(1)/(4!)-(1)/(5!)+….e^(-1)`

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