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If f(x) = sin x + tan ""x/2 + sin ""x/(2...

If `f(x) = sin x + tan ""x/2 + sin ""x/(2^2) + tan ""x/2^3 + …..+ sin""(x)/(2^(n-1))+ tan""x/(2^n)` is a periodic function with period `kpi` then k = a)1 b)2 c)`2^n` d)`1/(2^n)`

A

1

B

2

C

`2^n`

D

`1/(2^n)`

Text Solution

Verified by Experts

The correct Answer is:
C
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