Zero-bounded limits as a special case of the squeeze theorem for evaluating single-variable and multivariable limits

Authors

Eleftherios Gkioulekas, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

2013

Abstract

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.

Comments

Original published version available at https://doi.org/10.1080/0020739X.2012.742148

Recommended Citation

Eleftherios Gkioulekas drlf@hushmail.com (2013) Zero-bounded limits as a special case of the squeeze theorem for evaluating single-variable and multivariable limits, International Journal of Mathematical Education in Science and Technology, 44:4, 595-609, https://doi.org/10.1080/0020739X.2012.742148

Publication Title

International Journal of Mathematical Education in Science and Technology

DOI

10.1080/0020739X.2012.742148