8.1 Concept of a Limit

OpenStax Precalculus 2e — Chapter 12, Section 12.1

Learning Objectives

  • Describe the intuitive meaning of \(\lim_{x \to a} f(x) = L\)

  • Evaluate limits numerically using a table of values

  • Evaluate limits graphically by examining function behavior near a point

  • Distinguish between left-hand (\(\lim_{x \to a^-}\)) and right-hand (\(\lim_{x \to a^+}\)) limits

Key Concepts

To be filled during study.

Practice Problems

To be completed with textbook exercises.

Section Summary

To be written after completing the section.

Study Notes

Personal observations and connections to engineering work.