Here 0 is not jump discontinuity, because f(0+)=f(0-)=0 does not meet the definition of jump discontinuity.

Definition of jump discontinuity: Let the function f(x) be defined in U(a), and A is the discontinuity point of the function f(x) (the point that makes the function discontinuous), then if both the left continuous f(a-) and the right continuous f(a+) exist, but f(a-)≠f(a+), then