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Example 3

If H is a positive infinite hyperreal number, compute the standard part of

01_real_and_hyperreal_numbers-175.gif

In this example both the numerator and denominator are infinite, and we have to use the first type of computation to get the equation into a different form before we can take standard parts.

First stage

01_real_and_hyperreal_numbers-176.gif

Second stage H-1 and H-2 are infinitesimal, so

01_real_and_hyperreal_numbers-177.gif

Third stage

01_real_and_hyperreal_numbers-178.gif


Last Update: 2006-11-15