Curated OER
Is There a Limit to Which Side You Can Take?
Calculus students find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise functions.
Paul Dawkins
Paul's Online Notes: One Sided Limits: Practice Page
Practice exercise reviews one-sided limits.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Infinite Limits for Rational Functions
This Northeast Parallel Architectures Center of Syracuse University site offers examples and instruction on infinite limits for rational functions.
Other
Continuity
Students learn about continuity. Topics include discontinuities, one-sided limits, and the intermediate value theorem. Definitions and examples with solutions are included.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Infinite Limits
This Northeast Parallel Architectures Center at Syracuse University site provides a brief description and examples of infinite limits of functions at infinity.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Limits and Continuity
The resource investigates limits and continuity. Topics examined are left and right limits. Students learn about the calculus concepts through notes and examples.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: One Sided Limits
Brief tutorial on special cases of the Cauchy Limit definition.
CK-12 Foundation
Ck 12: Analysis: One Sided Limits
[Free Registration/Login may be required to access all resource tools.] Exploring functions with differing limits when x>0 or x<0. Students examine guided notes, review guided practice, watch instructional videos and attempt...
Mathematics Archives
Math Archives: Visual Calculus: One Sided Limits
This calculus tutorial features an explanation of one-sided (left- and right-hand) limits.
Oregon State University
Calculus Quest: Left and Right Hand Limits
Find out how to determine if a limit exists and what its value is. This site contains an interactive limit finding exercise of a particular graph. Be sure to continue to the next page by following the small blue arrow under the exercise...
Other
Seton Hall University: Limits
Detailed tutorial which defines, explains, and has examples of various function limits.
University of Minnesota
University of Minnesota: Calculus Graphics: Limits
This page offers visual aids to understand the existence of a limit to a function. The site briefly discusses left and right-hand limits.