Question

What is the meaning of discontinuity?

Answer 1

In maths a "discontinuity" is a point where the expression either does not exist, is infinite, or undefined.

Explanation:

A graph is the best way to understand a discontinuity, as it will be an asymptotic point/line for an expression. One might say that a function can still be "continuous" out to infinity, but if it has breaks between those asymptotes - like the tangent function - then it is discontinuous. Also, any division by zero (`0`) creates a discontinuity.