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How to calculate the order of an infinitesimal

  1. Aug 9, 2011 #1
    I know how to find out if an infinitesimal delta is of the first order (if delta*y/delta*x=dy/dx+epsilon is approximately equal to (dy/dx)*delta*x, but how do you find out if an infinitesimal is of second order or higher and how do you find out what that order is?

    Note: I will update this question with typesetting once I figure out how to use LaTeX.
     
    Last edited: Aug 9, 2011
  2. jcsd
  3. Aug 10, 2011 #2
    The order of an 'infinitesimal' is always relative.
     
  4. Aug 11, 2011 #3
    Relative to what? And how do you find the order?
     
  5. Aug 11, 2011 #4
    I know how to find out if an infinitesimal delta is of the first order (if [itex]\frac{\delta y}{\delta x}[/itex]=[itex]\frac{dy}{dx}[/itex]+[itex]\epsilon\approx[/itex][itex]\frac{dy}{dx}[/itex][itex]\delta[/itex]x, but how do you find out if an infinitesimal is of second order or higher and how do you find out what that order is?
     
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