It is not continuous at . There is a hole there
Is the function (x^2 - 4)/(x + 2) continous at x=-2 ?
I am doubtful because
1. It can be reduced to (X-2) so it is continous everywhere.
2. But on the other hand isnt continuity checked for the exact function without making changes to it? Cos if x=-2 then the original function is not defined at all.