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?

If f(x)= {((tan 3x)/(4x),xne0 ),(k, x=0):} , then for what value of K, f(x) is continuous.

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.

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