Let `f(x)={(1-cos4x)/(x^2),\ \ \ if\ x<0a ,\ \ \ if\ x=0(sqrt(x))/(sqrt(16+sqrt(x))-4),\ \ \ if\ x >0` Determine the value of `a` so that `f(x)` is continuous at `x=0.`

Let f(x)={(1-cos4x)/(x^2),\ \ \ if\ x 0 Determine the value of a so that f(x) is continuous at x=0.

Let f(x)={(1-cos4x)/(x^2a,),ifx 0,ifx=0 Determine the value of a so that f(x) is continuous at x=0.

Let f(x)={(1-cos4x)/(x^(2)),quad if x<0a,quad if x=0(sqrt(x))/(sqrt(16+sqrt(x))-4),quad if x Determine the value of a so that f(x) is continuous at x=0 .

Let f(x)={[(1-cos4x)/(x^(2)), if x 0 continuous at x=0.

The value of f(0) so that f(x)=(1+x)^(5//x) is continuous at x=0 is

Let f(x)=(1-cos x sqrt(cos 2x))/x^2 , x ne 0 The value of f(0) so that f is a continuous function is

Let f(x) ={{:((1-cos 4x)/(x^(2))",","when" x lt 0),(a",","when"x=0),((x)/(sqrt(16+sqrtx)-4)",","when" x gt0):} Determine the value of a, if possible, so that f(x) is continuous at x=0.

Find the value of f(0) so that f(x) = (1 + x)^(1//5x) is continuous at x = 0 .

Find the value of f(0) so that f(x) = (1 + 5x)^(1//x) is continuous at x = 0 .

Find the value of f(0) so that f (x) = (1 + 2x)^(1//3x) is continuous at x = 0