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Limit Interchange and L'Hôpital's Rule

by Michael W. Ecker

This article originally appeared in:
College Mathematics Journal
November, 2011

Subject classification(s): Calculus | Single Variable Calculus | Limits
Applicable Course(s): 3.2 Mainstream Calculus II | 4.11 Advanced Calc I, II, & Real Analysis

The author provides a somewhat recreational application of limit interchange and L'Hopital's rule. The goal is to hint at the importance of limit/sum interchange in Analysis without, however, delving any deeper than first-year Calculus.


A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.

To open this file please click here.

Capsule Course Topic(s):
One-Variable Calculus | Continuity and Limits
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