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ERIC Number: EJ1013292
Record Type: Journal
Publication Date: 2013
Pages: 15
Abstractor: As Provided
Reference Count: 8
ISBN: N/A
ISSN: ISSN-0020-739X
Zero-Bounded Limits as a Special Case of the Squeeze Theorem for Evaluating Single-Variable and Multivariable Limits
Gkioulekas, Eleftherios
International Journal of Mathematical Education in Science and Technology, v44 n4 p595-609 2013
Many limits, typically taught as examples of applying the "squeeze" theorem, can be evaluated more easily using the proposed zero-bounded limit theorem. The theorem applies to functions defined as a product of a factor going to zero and a factor that remains bounded in some neighborhood of the limit. This technique is immensely useful for both single-variable limits and multidimensional limits. A comprehensive treatment of multidimensional limits and continuity is also outlined.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A