For what values of x is the function NOT continuous

Let f be a function defined as follows:
f (x) =
sin x, x < 0
x^2 , 0 ≤ x < 1
2 − x, 1 ≤ x < 2
x − 3, x ≥ 2

For what values of x is f not continuous?

Should I find f(0) and f(1) and f(2) then find the limits for all of them?

In 0 - the function is continuos because :

lim x->0 x<0 sinx = 0 ;
lim x->0 x>0 x^2 = 0 ;
f(0) = 0;

In 1 - the function is continuos because :

lim x->1 x<1 x^2 = 1;
lim x>1 x>1 2 -x = 1;
f(1) = 1;

In 2 - the function is not continuos because :

lim x->2 x<2 2-x = 0;
lim x->2 x>2 x-3 = -1;
f(2) = -1;

These 3 are not equal thus the function is not continuous in 2;