The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages.


Example 3: Evaluating a Limit

Evaluate the limit 08_exp-log_functions-10.gif

Let H be positive infinite. Then

08_exp-log_functions-11.gif

By Example 2, 4H is infinite, so (¼)H is infinitesimal. Thus

08_exp-log_functions-12.gif


Last Update: 2006-11-15