Non-removable and infinite discontinuity.
EXPLANATION
There are two types of discontinuities: removable and non-removable.
There are two types of non-removable discontinuities: jump or infinite discontinuities.
Removable discontinuities are also known as holes.
From the given figure, at x =0 , the type of discontinuity is a non-removable discontinuity and it is infinite.
Therefore, the answers are;
Non-removable and infinite discontinuity.