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: 10-January-2026]}
BibLaTeX
@online{reference.wolfram_2025_seriestermgoal, organization={Wolfram Research}, title={SeriesTermGoal}, year={2020}, url={https://reference.wolfram.com/language/ref/SeriesTermGoal.html}, note=[Accessed: 10-January-2026]}