# 2.2: Limits of Functions

- Page ID
- 20559

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## Key Equations

Intuitive Definition of the Limit\(\displaystyle \lim_{x \to a}f(x)=L\)

Two Important Limits\(\displaystyle \lim_{x \to a}x=a\) \(\displaystyle \lim_{x \to a}c=c\)

One-Sided Limits\(\displaystyle \lim_{x \to a^−}f(x)=L\) \(\displaystyle \lim_{x \to a^+}f(x)=L\)

## Glossary

intuitive definition of the limitone-sided limit## Contributors

Gilbert Strang (MIT) and Edwin “Jed” Herman (Harvey Mudd) with many contributing authors. This content by OpenStax is licensed with a CC-BY-SA-NC 4.0 license. Download for free at http://cnx.org.