If `f(x)=sinx+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 `k pi,` then `k =`

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)

Find the period of f(x)="sinx+tan"x/2+"sin"x/2^2"tan"x/2^3+...+"sin"x/2^(n-1)+"tan"x/2^n

Find the period of f(x)=sinx+tan(x/2)+sin(x/(2^2))+t a n (x/(2^3))+....+sin(x/(2^(n-1)))+tan(x/(2^n))

Find the period of f(x)=sin x+tan(x)/(2)+sin(x)/(2^(2))+tan(x)/(2^(3))+...+sin(x)/(2^(n-1))+tan(x)/(2^(n))

The period of f(x)=sin x + tan (x/2) + sin (x/2^(2))+tan (x/2^(3))+ ------- + sin ((x)/(2^(n-1)))+tan((x)/(2^(n)))

The function f(x)=sin""(pix)/(2)+2 cos ""(pix)/(3)-tan""(pix)/(4) is periodic with period

The function f(x)=sin""(pix)/(2)+2 cos ""(pix)/(3)-tan""(pix)/(4) is periodic with period

The period of the function f(x)=sin x+tan((x)/(2))+sin((x)/(4))+tan((x)/(8))+......+sin((x)/(2^(n-1)))+tan((x)/(2^(n))) is given by (i) 2 pi(iit)2^(n)pi(iii)2^(n-1)pi(iv)2^(n+1)pi

The function f(x)=tan^(-1) (sin x+ cos x) is an increasing function in (-pi/2, pi/k) , then find k.