# What is an example of a function where the limit as x approaches 3 is the same as the function value at x=3?

May 1, 2015

$f \left(x\right) = 3$
or
$f \left(x\right) = 274 x$
or
$f \left(x\right) = {x}^{2} + x + 31$

If $f \left(x\right)$ is defined and not a critical point at $x = 3$
then
${\lim}_{x \rightarrow 3} f \left(x\right) = f \left(3\right)$

May 1, 2015

Whatever function that is continue in $x = 3$.