notes/education/math/MATH1210 (calc 1)/Limits.md
2025-01-07 18:24:44 -07:00

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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)\}.

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
Well behaved function A function that is continuous, has a single value, and is defined everywhere.