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