Document Type
Article
Publication Date
2014
Keywords
Squeeze theorem
Abstract
In this note, we give a direct proof that {Sn} and {Pn} converge to the same limit. The main tool in our proof is the squeeze theorem, which is probably the easiest to prove among the limit theorems. However, to use it, we need to establish a relevant squeeze, which is the main result of this note.
Publication Title
College Mathematics Journal
Volume
45
Issue
5
First Page
391
Last Page
392
DOI
http://dx.doi.org/10.4169/college.math.j.45.5.387
Required Publisher's Statement
Published by The Mathematical Association of America.
A Squeeze for Two Common Sequences That Converge to e. The College Mathematics Journal 45 (2014) no. 5, 391-392. doi:10.4169/college.math.j.45.5.381
Recommended Citation
Ćurgus, Branko, "A Squeeze for Two Common Sequences that Converge to e" (2014). Mathematics Faculty Publications. 62.
https://cedar.wwu.edu/math_facpubs/62
Subjects - Topical (LCSH)
Limit theorems (Probability theory); Convergence
Genre/Form
articles
Type
Text
Rights
Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.
Language
English
Format
application/pdf
Comments
This article can also be found at the following URL. Stable URL: http://www.jstor.org/stable/10.4169/college.math.j.45.5.391