The Limit Laws (OpenStax Calculus Tutorial)

In this video we practice the core ideas of limits of a function from OpenStax 2.2 using a step-by-step set of representative problems. You’ll see limits read directly from graphs, one-sided behavior, when a limit fails to exist, and quick numerical estimates using tables. By the end, you’ll be fluent in reading local behavior and separating the limit from the function value at a point. If this helps, subscribe and check the full limits playlist. Timestamps 00:00 — Introduction 00:13 — Problem 83: Evaluate a limit via Direct Substitution 01:31 — Problem 85: Evaluate a limit via Direct Substitution 02:11 — Problem 103: Evaluate a limit that goes to Infinity via Factoring 06:07 — Problem 109: Applying Limit Laws 07:12 — Problem 113: Applying Limit Laws 08:11 — Problem 117: Finding one-sided limits of a piecewise function 09:24 — Problem 123: Evaluating limits from a graph 10:51 — Problem 125: Evaluating limits from a graph Resources OpenStax Calculus Vol. 1, Section 2.2 “Limits of a Function” (reference). Optional link: openstax.org/books/calculus-volume-1/pages/2-2-limits-of-a-function (replace if you prefer a different resource link)