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If the local maximum value of the functi...

If the local maximum value of the function `f(x)=((sqrt3e)/(2sinx))^(sin^(2)x),x in(0,pi/2),is k/e, then (k/e)^8+k^8/e^5+k^8 ` is equal to

A

`e^5+e^6+e11`

B

`e^3+e^6+e11`

C

`e^3+e^5+e11`

D

`e^3+e^6+e10`

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