Define `f (0)` such that the function `f(x) =(cos(sin x)-cosx)/x^2,x != 0` , is continuous at `x=0`.

Show that the function f(x) defined by (sin x)/(x)+cos x,;x>02,;x=0 is continuous at x=0

Show that the function f(x) given by f(x)={(sinx)/x+cosx ,x!=0 and 2,x=0 is continuous at x=0.

Show that the function f(x) given by f(x)={(sin x)/(x)+cos x,x!=0 and 2,x=0 is continuous at x=0

Show that the function f(x)={{:((sinx)/(x)+cosx", if "x!=0),(2", if "x=0):} is continuous at x=0 .

If the function f(x)=(sin10 x)/x , x!=0 is continuous at x=0 , find f(0) .

If the function f(x)=(sin10 x)/x , x!=0 is continuous at x=0 , find f(0) .

A function f(x) is defined as below f(x)=(cos(sin x)-cos x)/(x^(2)),x!=0 and f(0)=a f(x) is continuous at x=0 if 'a' equals

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

The value of k for which the function f(x)={(sin(5x)/(3x)+cosx, xne0),(k, x=0):} is continuous at x=0 is

If f(x) =(1+sin x - cos x)/(1-sin x - cos x ), x != 0 , is continuous at x = 0 , then f(0) = ………