[" Define "],[f(x)=(1)/(2)[|sin x|+sin x],0

Define f(x) = (1)/(2)[|sinx|+sin x], 0 lt x le 2pi . Then f is

If f R to R is defined by f (x) = {{:(( 2 sin x - sin 2x)/(2x cos x ) " if " x ne 0) , ( alpha " for " x =0 ):} then the value of alpha so that f is continuous at 0 is

If f: R to R is defined by f(x) = {:{((2 sin x - sin 2x)/( 2 x cosx) , " if x ne 0), (a, if x ne 0):} then the value of 'a' so that f is continuous at 0 is

Discuss the extremum of f(x)=sin x+(1)/(2)sin2x+(1)/(3)sin3x,0<=x<=pi

Is f defined by f(x) = {((sin 2x)/x, if x != 0),(1, if x = 0):} continuous at 0?

Let f: R to R be a function defined as f(x)={(,(sin (a+1)x+sin 2x)/(2x), if x lt 0),(, b, if x=0), (,(sqrt(x+bx^(3))-sqrtx)/(bx^(5/2)), if x gt 0):} If f is continuous at x=0 then the value of a+b is equal to :

Let the function f(x) = tan^(1-) (sin x + cos x) be defined on [ 0, 2 pi] Then f(x) is