From e8bfbeeffa70ccc8d77cd828c0f138dd95d35123 Mon Sep 17 00:00:00 2001 From: eggy Date: Mon, 5 Oct 2020 20:54:45 -0400 Subject: [PATCH] math: clarify discontinuity --- docs/mhf4u7.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/mhf4u7.md b/docs/mhf4u7.md index 01e78c0..1e139fe 100644 --- a/docs/mhf4u7.md +++ b/docs/mhf4u7.md @@ -383,7 +383,7 @@ $$\lim_{x \to a^-} f(x) ≠ \lim_{x \to a^+} f(x)$$ An **infinite discontinuity** occurs when both one-sided limits are infinite. It is common when functions have vertical asymptotes. It can be expressed as when $$\lim_{x \to a} f(x) = ± ∞$$ -Therefore, a function is only continuous if all of the following are true: +Therefore, a function is only continuous at $a$ if all of the following are true: - $f(a)$ exists - $\lim_{x \to a^-} f(x) = \lim_{x \to a^+} f(x)$