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If f(x)=(x-1)/(4)+((x-1)^(3))/(12)+((x-1...

If `f(x)=(x-1)/(4)+((x-1)^(3))/(12)+((x-1)^(5))/(20)+((x-1)^(7))/(28)+....`,
where `0ltxlt2` , then f'(x) is equal to

A

`(1)/(4x(2-x))`

B

`(1)/(4(x-2)^(2))`

C

`(1)/(2-x)`

D

`(1)/(2+x)`

Text Solution

Verified by Experts

The correct Answer is:
A
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