Find the period of `f(x)=sin((pix)/(n !))-cos((pix)/((n+1)!))`

Find the derivative of sin^(n)x

In each of the following cases find the period of the function if it is periodic. (i) f(x)="sin"(pi x)/(sqrt(2))+"cos"(pi x)/(sqrt(3)) " (ii) " f(x)="sin"(pi x)/(sqrt(3))+"cos"(pi x)/(2sqrt(3))

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

Find the range of f(x)=sqrt(sin(cos x))+sqrt(cos(sin x)) .

Find the range of f(x)=sin^(-1)x+tan^(-1)x+cos^(-1)xdot

What is the fundamental period of f(x) = (sin x+ sin 3x)/(cos x+ cos 3x)

Find the range of f(x)=sqrt((cos^(-1)sqrt((1-x^2))-sin^(-1)x))

Find the number of integers lying in the interval (0,4) where the function f(x)=(lim)_(nvecoo)(cos(pix)/2)^(2n) is discontinuous

Discuss the continuity of f(x)in[0,2],w h e r ef(x)=(lim)_(nvecoo)(s in(pix)/2)^(2n)