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