Question

What is an example of when a limit does not exist?

Answer 1

A limit does not exist (DNE) when the values of the left-hand and right-hand limits aren't equal.

Explanation:

For example, `lim_(xrarr0)1/x` DNE because `lim_(xrarr0^-)1/x=-oo` is not equal to `lim_(xrarr0^+)1/x=+oo`.