From b6bb60e548c7ff47878220115ea5acd353e1ea15 Mon Sep 17 00:00:00 2001 From: arc Date: Tue, 21 Jan 2025 12:04:38 -0700 Subject: [PATCH] vault backup: 2025-01-21 12:04:38 --- assets/boolean-lo.md | 0 education/math/MATH1210 (calc 1)/Limits.md | 8 ++++++++ 2 files changed, 8 insertions(+) delete mode 100644 assets/boolean-lo.md diff --git a/assets/boolean-lo.md b/assets/boolean-lo.md deleted file mode 100644 index e69de29..0000000 diff --git a/education/math/MATH1210 (calc 1)/Limits.md b/education/math/MATH1210 (calc 1)/Limits.md index b6e60c2..d1e1781 100644 --- a/education/math/MATH1210 (calc 1)/Limits.md +++ b/education/math/MATH1210 (calc 1)/Limits.md @@ -17,6 +17,14 @@ The standard notation for a limit is: $$ \lim_{x \to a} f(x) = L $$ - As $x$ approaches $a$, the output of $f(x)$ draws closer to $L$. In the above notation, $x$ and $a$ are not necessarily equal. - When plotted, the hole is located at $(a, L)$. + +# Continuity +A function is continuous if their graph can be traced with a pencil without lifting the pencil from the page. + +Formally, a function $f$ is continuous at a point $a$ if: +- $f(a)$ is defined +- $\lim{x\rarrow}$ + # Definitions | Term | Definition |