This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.

# AccuracyGoal

 AccuracyGoalis an option for various numerical operations which specifies how many effective digits of accuracy should be sought in the final result.
• AccuracyGoal->Infinity specifies that accuracy should not be used as the criterion for terminating the numerical procedure. PrecisionGoal is typically used in this case.
• Even though you may specify AccuracyGoal->n, the results you get may sometimes have much less than n-digit accuracy.
• AccuracyGoal effectively specifies the absolute error allowed in a numerical procedure.
• With AccuracyGoal->a and , Mathematica attempts to make the numerical error in a result of size x be less than .
Approximate a numerical integral to at least 8 digits of accuracy:
 Out[1]=

Use precision (relative error) as the basis for error control in solving an ODE:
 Out[1]=
The relative error is small:
 Out[3]=
Without specifying the AccuracyGoal, the relative error is much larger:
 Out[4]=
 Scope   (2)