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education/math/MATH1210 (calc 1)/Limits.md

@@ -30,7 +30,9 @@ $$ \lim_{x \to a^*} \frac{f(x)}{g(x)} = \infty \space or \space \lim_{x \to a^*}
 # Limits of the Form $\frac{\infty}{\infty}$
 If we have a limit of the form $\lim_{x \to a} \frac{f(x)}{g(x)}$ where both $f(x) \to \infty$ and $g(x) \to \infty$ as $x \to a$ then the limit may or may not exist and is said to be an indeterminate form of type $\frac{\infty}{\infty}$.
 
-To find the limit if it exists we must perform some algebraic manipulations on the quotient in 
+To find the limit if it exists we must perform some algebraic manipulations on the quotient in order to change the form of the function.
+
+If $f(x)$ and $g(x)$ are polynomials, then we can multiply the numerator and denominator by $\dfrac{1}{x^n}$, where $n$ is the degree of the polynomial in the denominator. 
 # Continuity
 A function is continuous if their graph can be traced with a pencil without lifting the pencil from the page.