For the function `f(x)={((sin^(2)ax)/(x^(2))",","where " x ne 0),(1",", "when " x =0):}` which one is a true statement

If the function f(x) = {((sin^(2)ax)/(x^(2))","," when "x != 0),(" k,"," when " x = 0):} is continuous at x = 0 then k = ?

For the function f(x)=sin^(2)a(x)/(x^(2)) when x!=0 and f(x)=1 when x=0 which one is a true statement?

The function f(x)=(1-cos x)/(x^(2))" for "x ne 0, f(0)=1" at x=0 is"

Let f(x) = {(x "sin "(1)/(x)","," if " x != 0),(" 0,"," where " x = 0):} Then, which of the following is the true statement ?

If the function, f(x) = {((1-cos(ax))/x^2, ; "when" x != 0), (1, ; "when" x = 0):} be continuous at x=0, then find the values of a.

The function f(x) =(e^(1//x^(2))/(e^(1//x^(2))-1)" for "x ne 0,f(0)=1" at x =0 is"

If f(x)={(x"sin"(1)/(x),"when "x ne 0),(0,"when "x =0):} then at x = 0, the function f(x) is -

The function f(x)=(3sin x-sin 3x)/(x^(3))" for "x ne 0, f(0) =1 at x=0 is

If f(x)=(sin^(2)ax)/(x^(2))" for "x ne 0, f(0)=1 is continuous at x=0 then a=