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Home Real and Hyperreal Numbers Infinitesimal, Finite and Infinite Numbers Examples Example 5
 
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Example 5

01_real_and_hyperreal_numbers-115.gif

is finite but not infinitesimal.

In this example the trick is to multiply both numerator and denominator by 1/H2. We get

01_real_and_hyperreal_numbers-116.gif

Now 1/H and 1/H2 are infinitesimal. Therefore both the numerator and denominator are finite but not infinitesimal, and so is the quotient.
Home Real and Hyperreal Numbers Infinitesimal, Finite and Infinite Numbers Examples Example 5

Last Update: 2006-11-15