| The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages. |
|
Home  Limits, Analytic Geometry, and Approximations L'Hospitals Rule Neighbourhood of a Real Number |
|
 Search the VIAS Library | Index
|
  |
Neighbourhood of a Real Number
In other cases l'Hospital's Rule is useful in computing limits of quotients where both L and M are 0. Before stating l'Hospital's Rule, we introduce the notion of a neighborhood of a point c (Figure 5.2.1).
Figure 5.2.1 DEFINITION By a neighborhood of a real number c we mean an interval which contains c as an interior point. The set formed by removing the point c from a neighborhood I of c is called a deleted neighborhood of c. Thus a deleted neighborhood is the set of all points x in I such that x ≠ c.
|
|
| Home Limits, Analytic Geometry, and Approximations L'Hospitals Rule Neighbourhood of a Real Number |
|
Last Update: 2006-11-14