Question

What is jump discontinuity in functions?

Answer 1

`f(x)` has a jump discontinuity at `x=a` if each of one sided limits (`lim_{x to a^-}f(x)` and `lim_{x to a^+}f(x)`) exists; however, those limits have different values. The graph seem to "jump" from one value to another value at `x=a`.