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Home Real and Hyperreal Numbers Infinitesimal, Finite and Infinite Numbers Examples Example 1
 
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Example 1

Consider01_real_and_hyperreal_numbers-105.gif. ε is infinitesimal, so -3ε is infinitesimal,

and b - 3ε is finite but not infinitesimal. Similarly, c + 2δ is finite but not infinitesimal. Therefore the quotient

01_real_and_hyperreal_numbers-106.gif

is finite but not infinitesimal.
Home Real and Hyperreal Numbers Infinitesimal, Finite and Infinite Numbers Examples Example 1

Last Update: 2006-11-15