Calculus : The Limit is a review and how-to guide to help students solve problems involving limits. This handout is designed for use with AP Calculus BC and College level Calculus 1.
Using an informal tone, this handout is meant to supplement the students ordinary textbook. Concepts are discussed in an easy going fashion with the focus on how to solve problems. Problems are solved in explicit detail. The purpose of the handout is to show students how to solve problems and grasp calculus concepts in an informal fashion. It can be used to supplement the textbook and for tutorial sessions.
Topics covered include:
- The basic definition of the limit
- Rule of thumb for calculating limits
- One-sided limits
- Determining if limits exist
- Limit theorems (applied)
- Limits at infinity
- Limits of exponential and log functions
- Continuity and the limit
Each section contains many solved examples.