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The value of lim(xto4)((cos alpha)^(x)-(...

The value of `lim_(xto4)((cos alpha)^(x)-(sinalpha)^(x)-cos 2alpha)/(x-4), alpha epsilon(0,(pi)/2)` is

A

`log(cos alpha)+(sin alpha)^(4)log(sin alpha)`

B

`(cos^(4)alpha)log(cos alpha)-(sin alpha)^(4)log(sinalpha)`

C

`(cos^(4)alpha)log(cos alpha)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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