#### Document Type

Article

#### Publication Date

2014

#### Abstract

In this note, we give a direct proof that {S_{n}} and {P_{n}} 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

#### 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.* Paper 62.

http://cedar.wwu.edu/math_facpubs/62

## 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