# What is the limit as x approaches infinity of x?

Mar 2, 2018

$L i {m}_{x \to \infty} x = \infty$

#### Explanation:

Break the problem down into words: "What happens to a function, $x ,$ as we continue increasing $x$ without bound?"

$x$ would also increase without bound, or go to $\infty .$

Graphically, this tells us that as we continue heading right on the $x$-axis (increasing values of $x ,$ going to oo) our function, which is just a line in this case, keeps heading upwards (increasing) with no restrictions.

graph{y=x [-10, 10, -5, 5]}