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

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

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

The function f(x)= xcos(1/x^2) for x != 0, f(0) =1 then at x = 0, f(x) is

Show that the function f(x)={ x^2sin(1/x) , when x !=0 and 0 when x=0 } is differentiable at x=0.

Show that the function f(x) ={( (sin x)/x, when x !=0),( 2, when x =0):} is continuous at each point except 0.

The function f(x)=(x-a)"sin"(1)/(x-a) for x!=a and f(a)=0 is :

Ax=0 the given function f(x)={x sin(log x^(2));x!=0 and 0;x=0 is

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

Show that the function f(x)={x sin((1)/(x)) when x!=0;=0, when x=0 is continuous butnot differentiable at x=0