| 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 Infinite Limits Examples Example 9 |
|
 Search the VIAS Library | Index
|
  |
Example 9: Limit for Cos x Does Not Exist
Find limx→∞ cos x. If H is any integer or hyperinteger, then cos (2πH) = 1, cos (2πH + π) = - 1. In fact, cos x will keep oscillating between 1 and -1 even for infinite x. Therefore the limit does not exist. Limits involving ex and ln x will be studied in Chapter 8.
|
|
| Home Limits, Analytic Geometry, and Approximations Infinite Limits Examples Example 9 |
|
Last Update: 2006-11-15