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Squeeze Theorem

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.
Identifier: 
http://demonstrations.wolfram.com/SqueezeTheorem/
Rating: 
Average: 3.1 (379 votes)
Creator(s): 
Bruce Atwood (Beloit College) and Selwyn Hollis (Armstrong Atlantic State University)
Cataloger: 
Philip Yasskin
Publisher: 
Wolfram Demonstrations Project
Rights: 
Wolfram Demonstrations Project

Dummy View - NOT TO BE DELETED