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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

`1/6`

B

`1/3`

C

`1/4`

D

`1/12`

Text Solution

Verified by Experts

The correct Answer is:
D
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