The Limit of a Function (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 0:00 — Introduction 0:21 — Problem 35: Evaluate a limit from a Table 3:20 — Problem 47: One-sided limit from graph 5:19 — Problem 49: Two-sided limit from a graph 7:40 — Problem 55: Estimate a limit using a graph 8:13 — Problem 57: Estimate a limit using a graph 9:08 — Problem 79: Graphing a function from limits and points 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)