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 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

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

Let f(x) = sin"" 1/x, x ne 0 Then f(x) can be continuous at x =0

Let f(x) = sin"" 1/x, x ne 0 Then f(x) can be continuous at x =0

If f(x) = {((1-cos 4x)/x^(2), x lt 0),(a, x =0),((sqrtx)/(sqrt(16+sqrt(x))-4), xgt 0):} then the value of a for which f(x) is continuous at x = 0 is

Let f(x) = {{:((cos x-e^(x^(2)//2))/(x^(3))",",x ne 0),(0",",x = 0):} , then Statement I f(x) is continuous at x = 0. Statement II lim_(x to 0 )(cos x-e^(x^(2)//2))/(x^(3)) = - (1)/(12)