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

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

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

Included in

Mathematics Commons

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