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Course Topic(s): One-Variable Calculus | Infinite Limits, Function Values and Integrals | Continuity and Limits
Students investigate the limits of the functions \(x^n \sin(^1/_x)\) as \(x \to 0\) for \( n = 0, 1, 2\) and \(3\). They see the graphs of the function and its bounds \(|x|^n\) and \(-|x|^n\) and zoom in toward \(0\). They can see that the functions with \(n = 1, 2\) and \(3\) have a limit of \(0\) while the function with \(n = 0\) does not have a limit. This would make an excellent classroom demo.
Resource URL: http://demonstrations.wolfram.com/SqueezeTheorem/
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Creator(s): Bruce Atwood (Beloit College) and Selwyn Hollis (Armstrong Atlantic State University)
Contributor(s): Wolfram Demonstrations Project
This resource was cataloged by Philip YasskinPublisher:
Wolfram Demonstrations Project
Resource copyright: Wolfram Demonstrations Project
This review was published on February 07, 2011
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