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


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

- 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.
Examples
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:
History
Text
Wolfram Research (2020), SeriesTermGoal, Wolfram Language function, https://reference.wolfram.com/language/ref/SeriesTermGoal.html.
CMS
Wolfram Language. 2020. "SeriesTermGoal." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SeriesTermGoal.html.
APA
Wolfram Language. (2020). SeriesTermGoal. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SeriesTermGoal.html
BibTeX
@misc{reference.wolfram_2025_seriestermgoal, author="Wolfram Research", title="{SeriesTermGoal}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/SeriesTermGoal.html}", note=[Accessed: 11-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_seriestermgoal, organization={Wolfram Research}, title={SeriesTermGoal}, year={2020}, url={https://reference.wolfram.com/language/ref/SeriesTermGoal.html}, note=[Accessed: 11-August-2025]}