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Let fk(x) = 1/k(sin^k x + cos^k x) where...

Let `f_k(x) = 1/k(sin^k x + cos^k x)` where `x in RR` and `k gt= 1.` Then `f_4(x) - f_6(x)` equals

A

`(5)/(12)`

B

`(-1)/(12)`

C

`(1)/(4)`

D

`(1)/(12)`

Text Solution

Verified by Experts

The correct Answer is:
D
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