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For n in N, let f(n) (x) = tan ""(x)/(2)...

For `n in N,` let `f_(n) (x) = tan ""(x)/(2) (1+ sec x ) (1+ sec 2x) (1+ sec 4x)……(1+ sec 2 ^(n)x),` the `lim _(xto0) (f _(n)(x))/(2x)` is equal to :

A

`0`

B

`2^(n)`

C

`2^(n-1)`

D

`2^(n+1)`

Text Solution

Verified by Experts

The correct Answer is:
C
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