is an option for Asymptotic, DiscreteAsymptotic and similar functions that specifies the number of desired terms in an asymptotic approximation.


  • The default setting of SeriesTermGoal is Automatic.
  • Asymptotics functions typically return a leading asymptotic approximation with the default setting.
  • Asymptotic series approximations with a specific order n can be obtained by setting SeriesTermGoal to n.


Basic Examples  (1)

Find the leading asymptotic approximation for Sin at 0:

Plot the function and the approximation:

Use SeriesTermGoal to obtain a better approximation:

Introduced in 2020