From eb6fbb905949dfec32f61b192f4d697af0e5e48a Mon Sep 17 00:00:00 2001
From: eggy <eggyrules@gmail.com>
Date: Mon, 19 Oct 2020 15:23:36 -0400
Subject: [PATCH] math: clarify why f(x)=g(x)

---
 docs/mhf4u7.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/docs/mhf4u7.md b/docs/mhf4u7.md
index 927188c..6dc3d93 100644
--- a/docs/mhf4u7.md
+++ b/docs/mhf4u7.md
@@ -371,7 +371,7 @@ Substituting a variable in for the variable to be solved and then solving in ter
     $$
 
 !!! note
-    If $lim_{x \to a} \frac{f(x)}{g(x)}$ exists, $x - a$ *must* be a factor of both $f(x)$ and $g(x)$. Therefore, $f(a) = 0$ and $g(a) = 0$.
+    If $\lim_{x \to a} \frac{f(x)}{g(x)}$ exists and direct substitution is not possible, $x - a$ *must* be a factor of both $f(x)$ and $g(x)$ so that the discontinuity can be removed. Therefore, $f(a) = 0$ and $g(a) = 0$.
 
 ### Limits and continuity