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For n epsilon N let f(n)(x)="tan"x/2(1+s...

For `n epsilon N` let `f_(n)(x)="tan"x/2(1+secx)(1+sec2x) (1+sec4x)..(1+sec2^(n)x)`. Then `x_(to0)(f_(n)(x))/(2x)` is

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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