SeriesTermGoal

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:

Wolfram Research (2020), SeriesTermGoal, Wolfram Language function, https://reference.wolfram.com/language/ref/SeriesTermGoal.html.

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_2024_seriestermgoal, author="Wolfram Research", title="{SeriesTermGoal}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/SeriesTermGoal.html}", note=[Accessed: 30-December-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_seriestermgoal, organization={Wolfram Research}, title={SeriesTermGoal}, year={2020}, url={https://reference.wolfram.com/language/ref/SeriesTermGoal.html}, note=[Accessed: 30-December-2024 ]}