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

@@ -27,6 +27,8 @@ To find this limit if it exists we must perform some mathematical manipulations
 # Limits of the Form $\frac{k}{0}, k \ne 0$
 If we have a one sided limit of the form $\lim_{x \to a^*} \frac{f(x)}{g(x)}$ $f(x) \to k (k \ne 0)$ and $g(x) \to 0$ as $x \to a$ then:
 $$ \lim_{x \to a^*} \frac{f(x)}{g(x)} = \infty \space or \space \lim_{x \to a^*} \frac{f(x)}{g(x)} = -\infty $$
+# 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 $\frac{\infty}{\infty}$
 # Continuity
 A function is continuous if their graph can be traced with a pencil without lifting the pencil from the page.