# Limits

## By Lawrence Neff Stout, revised by Robin Sue Sanders

## Limits Basics

A large part of the beginning of the standard calculus course is spent
understanding exactly what a limit is. This involves both a rather numerical
approximate notion of values tending toward a number and the rigorous study
using the delta-epsilon definition. I've written this notebook to help make
clear what the definition of a limit is, why we need it, how to use it, and how
Mathematica can clarify both the intuitive and the rigorous approach to
mathematics.

#### B.1) Limits as x goes to infinity and
horizontal asymptotes

#### B.2) Two sided limits as x goes to
a

#### B.3) Squeezing limits

#### B.4) An important example

#### B.5) One-sided limits

#### B.6) Continuous functions

## Limits Tutorial