Question

What is a removable Discontinuity?

Answer 1

`f(x)` has a removable discontinuity at `x=a` when `lim_{x to a}f(x)` EXISTS; however, `lim_{x to a}f(a) ne f(a)`. A removable discontinuity looks like a single point hole in the graph, so it is "removable" by redefining `f(a)` equal to the limit value to fill in the hole.