Let : `f(x)={(sina x^2)/(x^2),x!=0 3/4+1/(4a),x=0` for what values of `a` is `f(x)` 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),\ \ \ if\ x 0 Determine the value of a so that f(x) is continuous at x=0.

f(x) = {{:(("tan"((pi)/(4)+x))^(1//x)",",x ne 0),(k",",x = 0):} for what value of k, f(x) is continuous at x = 0 ?

Let f(x)=(x(3^(x)-1))/(1-cosx)" for "x ne0 . Then value of f(0) , which make f(x) continuous at x = 0, is

Let f(x)={{:(,x^(n)sin\ (1)/(x),x ne 0),(,0,x=0):} Then f(x) is continuous but not differentiable at x=0 . If

Let f(x)=(log(1+x/a)-log(1-x/b))/x ,x!=0. Find the value of f at x=0 so that f becomes continuous at x=0

The value of a for which the function f(x)={(((4^x-1)^3)/(sin(x/a)log(1+x^2/3)) ,, x!=0),(12(log4)^3 ,, x=0):} may be continuous at x=0 is :

The value of a for which the function f(x)=f(x)={((4^x-1)hat3)/(sin(x a)log{(1+x^2 3)}),x!=0 12(log4)^3,x=0 may be continuous at x=0 is 1 (b) 2 (c) 3 (d) none of these

Let f(x) = min [1/2 - 3x^2/4, 5x^2/4] , for 0 <= x <= 1 then maximum value of f(x) is

Let f(x)={((alpha cotx)/x+beta/x^2 ,, 0<|x|lt=1),(1/3 ,, x=0):} . If f(x) is continuous at x=0 then the value of alpha^2+beta^2 is