4.4 Limits at Infinity and Asymptotes

OpenStax Calculus Volume 1 — Section 4.4

Learning Objectives

  • Evaluate \(\lim_{x \to \infty} f(x)\) and \(\lim_{x \to -\infty} f(x)\)

  • Determine horizontal asymptotes from limits at infinity

  • Analyze end behavior of polynomial, rational, and exponential functions

  • Identify and classify vertical asymptotes using one-sided 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.