Definition:Infinitesimal/Order
< Definition:Infinitesimal(Redirected from Definition:Order of Infinitesimal)
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Definition
Let $x$ and $y$ be infinitesimals.
$x$ and $y$ are the same order if and only if $\dfrac x y$ is finite and does not tend to zero.
Also see
- Results about infinitesimals can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): infinitesimal
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): infinitesimal