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)={(sin ax^(2))/(x^(2));x!=0 and (3)/(4)+(1)/(4a);x=0 For what value of a,f(x) is continuous at x=0?

Let f(x)={x^(p)sin((1)/(x))+x|x^(3)|,x!=0,0,x=0 the set of values of p for which f'(x) is continuous at x=0 is

Let f(x)={{:("sin 4x"/"log (1+3x)",","x ne 0),("A+1",","x=0):} The value of A for f to be 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)=[tan((pi)/(4)+x)]^((1)/(x)),x!=0 and f(x)=k,x=0 then the value of k such that f(x) hold continuity 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)={[(1-cos4x)/(x^(2)), if x 0 continuous at x=0.