Let `f(x)={(e^(ax)-e^x-x)/(x^2), x!=0 and 3/2,x=0` The value of a so that f is continuous function is

Let f(x)={{:((e^(alphax)-e^x)/x^2, x ne 0),(3//2,x=0):} The value of alpha so that f is a continuous function 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+sinx)^"cosec x" , the value of f(0) so that f is a continuous function is

Let f(x)=(tan[e^(2)]x^(2)-tan[-e^(2)]x^(2))/(sin^(2)x),x!=0 then the value of f(0) so that f is a continuous function is

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)={(log(1+x)^(1+x)-x)/(x^2)}dot Then find the value of f(0) so that the function f is continuous at x=0.

Let f(x)={(log(1+x)^(1+x)-x)/(x^2)}dot Then find the value of f(0) so that the function f is continuous at x=0.

If f(x)=[(3sin x)/(x)],x!=0, then the value of f(0) so that the function f(x) is continuous at x=0 is

Let f(x)={[((e^(3x)-1))/(x),,x!=0],[3,,x=0]} then 2f'(0) is