Let f(x)=underset(n rarroo)(lim)(cosx)/(...

Let `f(x)=underset(n rarroo)(lim)(cosx)/(1+(tan^(-1)x)^(n))`. Then the value of `int_(o)^(oo)f(x)dx` is equal to

A

`tan (sin 1)`

B

` sin (tan 1)`

C

0

D

`sin ((tan 1)/(2))`

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The correct Answer is:

B

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