# Example of Limit at Positive Infinity

In this tutorial we shall discuss an example related to the limit of a function at positive infinity, i.e. $x \to + \infty$.

Let us consider an example:

We divide the numerator and denominator of the fraction by $\left| x \right|$. Since we are considering only positive values of $x$ and $\sqrt {{x^2}} = \left| x \right| = x$ for $x > 0$, using these values we have

Using the relation $\sqrt {{x^2}} = \left| x \right| = x$, we have

By applying limits, we have