Sequence And Series Question 112

Question: $ 1+\frac{1}{3,!}+\frac{1}{5,!}+\frac{1}{7,!}+…..\infty = $

[MP PET 1991]

Options:

A) $ {e^{-1}} $

B) $ e $

C) $ \frac{e+{e^{-1}}}{2} $

D) $ \frac{e-{e^{-1}}}{2} $

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Answer:

Correct Answer: D

Solution:

$ 1+\frac{1}{3\ !}+\frac{1}{5\ !}+\frac{1}{7\ !}+……\infty =\frac{e-{e^{-1}}}{2} $ .