In this lesson on trigonometric limits, we learn about the continuity of sine and cosine and how to evaluate limits involving these functions. We also explore the vertical asymptotes of the tangent, cotangent, secant, and cosecant functions and how to determine if a limit exists or not. Additionally, we discover the limit of sin(x)/x as x approaches 0 and related limits, as well as how to use algebraic manipulation to simplify and solve more complex trigonometric limits.
Limits involving sine and cosine. Vertical asymptotes of tan, cot, sec, csc. The limit of sin(x)/x as x -> 0 and related limits.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.