Question

Find the points where the following function is not defined and is therefore not
continuous. For each such point tell whether this discontinuity is removable (Hint: There are two
points). Do not use L’Hôpital’s Rule.

f(x) { 1/(t^2)*sin^2(t/2) if x<0
f(x) { (x^2-16)/(2-sqrt(x)) if x > 0