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Question: Sum to infinity of the series is \(1 + \frac{x^{2}}{2!} + \frac{x^{4}}{4!} + ......\) is....

Sum to infinity of the series is 1+x22!+x44!+......1 + \frac{x^{2}}{2!} + \frac{x^{4}}{4!} + ...... is.

A

ex−e−x2\frac{e^{x} - e^{- x}}{2}

B

ex+e−x2\frac{e^{x} + e^{- x}}{2}

C

e−x−ex2\frac{e^{- x} - e^{x}}{2}

D

−(ex+e−x)2\frac{- (e^{x} + e^{- x})}{2}

Answer

ex+e−x2\frac{e^{x} + e^{- x}}{2}

Explanation

Solution

It is obvious.