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The sum of the infinite series(2^(2))/(2...

The sum of the infinite series`(2^(2))/(2!) + (2^(4))/(4!) + (2^(6))/(6!) + `... Is equal to

A

`(e^(2)+1)/(2e)`

B

`(e^(4)+1)/(2e^(2))`

C

`((e^(2)-1)^(2))/(2e^(2))`

D

`((e^(2)+1)^(2))/(2e^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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