Calculus haiku: continuity

The formal definition of the continuity of a function f at a value a is that (1) the value f(a) be defined, (2) the function f has a limit as x approaches a, and (3) that these two values are equal.   This can be expressed extremely concisely by the equation

or, with slightly less brevity but more zen-like peace, as

and for the graphically inclined, as

This entry was posted in nerdify. Bookmark the permalink.

Leave a Reply

Your email address will not be published. Required fields are marked *

fifty five + = fifty eight