diff --git a/education/math/MATH1210 (calc 1)/Limits.md b/education/math/MATH1210 (calc 1)/Limits.md index d146d6d..f927baf 100644 --- a/education/math/MATH1210 (calc 1)/Limits.md +++ b/education/math/MATH1210 (calc 1)/Limits.md @@ -1,8 +1,15 @@ # Introduction -- Every mathematical function can be thought of as a set of ordered pairs, or an input value and an output value. - - Examples include $f(x) = x^2 + 2x + 1$, and $\{(1, 3), (2, 5), (4, 7)\}$. +Every mathematical function can be thought of as a set of ordered pairs, or an input value and an output value. +- Examples include $f(x) = x^2 + 2x + 1$, and $\{(1, 3), (2, 5), (4, 7)\}$. +**A limit describes how a function behaves *near* a point, rather than *at* that point.*** +- As an example, given a well behaved function~ $f(x)$ and $f(2) = 9$, we can assume that # Definitions -| Term | Definition | +| Term | Definition | +| --------------------- | ----------------------------------------------------------------------------- | +| Well behaved function | A function that is continuous, has a single value, and is defined everywhere. | +| | | + +