VerifyConvergence

VerifyConvergence

is an option to Sum, NSum, and similar functions that specifies whether convergence checking should be done.

Details

  • With the default setting VerifyConvergence->True, convergence is automatically checked for infinite sums and similar constructs.
  • With VerifyConvergence->False, convergence is not explicitly checked, and results may correspond to various regularized forms.
  • With the default setting VerifyConvergence->True, setting GenerateConditions->True will generate conditions for convergence.

Examples

Basic Examples  (1)

By default Sum will verify convergence:

Setting VerifyConvergence ->False will avoid the verification step:

In this case, this result corresponds to a regularized version of the sum:

Wolfram Research (1991), VerifyConvergence, Wolfram Language function, https://reference.wolfram.com/language/ref/VerifyConvergence.html (updated 2008).

Text

Wolfram Research (1991), VerifyConvergence, Wolfram Language function, https://reference.wolfram.com/language/ref/VerifyConvergence.html (updated 2008).

CMS

Wolfram Language. 1991. "VerifyConvergence." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2008. https://reference.wolfram.com/language/ref/VerifyConvergence.html.

APA

Wolfram Language. (1991). VerifyConvergence. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/VerifyConvergence.html

BibTeX

@misc{reference.wolfram_2024_verifyconvergence, author="Wolfram Research", title="{VerifyConvergence}", year="2008", howpublished="\url{https://reference.wolfram.com/language/ref/VerifyConvergence.html}", note=[Accessed: 20-May-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_verifyconvergence, organization={Wolfram Research}, title={VerifyConvergence}, year={2008}, url={https://reference.wolfram.com/language/ref/VerifyConvergence.html}, note=[Accessed: 20-May-2024 ]}