Sequence And Series Question 53

Question: $ \frac{e^{2}+1}{2,e}= $

Options:

A) $ 1+\frac{2}{2,!}+\frac{2^{2}}{3,!}+\frac{2^{3}}{4,!}+…..\infty $

B) $ 1+\frac{1}{2,!}+\frac{1}{4,!}+\frac{1}{6,!}+…..\infty $

C) $ \frac{1}{2}( 1+\frac{1}{2,!}+\frac{1}{4,!}+….\infty ) $

D) $ \frac{1}{2}( 1+\frac{1}{1,!}+\frac{1}{2,!}+\frac{1}{3,!}+….\infty ) $

Show Answer

Answer:

Correct Answer: B

Solution:

$ \frac{e^{2}+1}{2e}=\frac{e+{e^{-1}}}{2}=1+\frac{1}{2\ !,}+\frac{1}{4\ !}+\frac{1}{6\ !}+……\infty $



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