If `R to R` is defined by
`f(x)={((2 sinx-sin2x)/(2x cos x)",","if "x ne 0),(a",","if " x =0):}`
then the value of a so that f is continuous at x = 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

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

Let f(x)={((cos^(2)x-sin^(2)x-1)/(sqrt(x^(2)+4)-2)"," , x ne 0),(a",", x =0):} , then the value of a in order that f(x) may be continuous at x = 0 is

If f: R to R is defined by f(x)={{:(,(1+3x^(2)-cos2x)/x^(2),"for "x ne 0),(,k,"for x=0"):}

If f(x) = ((a+x)^(2)sin(a+x)-a^(2)sin a)/(x) , x !=0 , then the value of f(0) so that f is continuous at x = 0 is

If f(x) = ((a+x)^(2)sin(a+x)-a^(2)sin a)/(x) , x !=0 , then the value of f(0) so that f is continuous at x = 0 is

If f : R to R is defined by f(x) = {:{ ((cos 3x - cos x)/(x^(2) ), " for " x ne 0), (lamda , " for " x =0):} and if f is continuous at x =0 , then lamda is equal to

Is f defined by f(x)={{:((sin2x)/(x),"if "xne0),(1,"if "x=0):}" continuous"0 ?