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


Example 1

Let ε be a positive infinitesimal and H be a positive infinite hyperreal number.

The vector 5εi + ε2k is infinitesimal. Its length is

10_vectors-282.gif

The vector εi + j + k is finite but not infinitesimal. Its length is

10_vectors-283.gif

The vector i + εj + Hk is infinite. Its length is

10_vectors-284.gif


Last Update: 2006-11-15