# Limits at Positive Infinity with Radicals

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

Let us consider an example:

By rationalizing, we have

We divide the numerator and denominator of the fraction by $\left| x \right|$. Since we are considering only negative 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