VerifyConvergence
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VerifyConvergence
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)Summary of the most common use cases
By default Sum will verify convergence:
In[1]:=1
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https://wolfram.com/xid/0j0hw9g70qngek-iabag4
Out[1]=1
Setting VerifyConvergence ->False will avoid the verification step:
In[2]:=2
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https://wolfram.com/xid/0j0hw9g70qngek-rkamv
Out[2]=2
In this case, this result corresponds to a regularized version of the sum:
In[3]:=3
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https://wolfram.com/xid/0j0hw9g70qngek-b4jz1s
Out[3]=3
Wolfram Research (1991), VerifyConvergence, Wolfram Language function, https://reference.wolfram.com/language/ref/VerifyConvergence.html (updated 2008).
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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).
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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.
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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
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Wolfram Language. (1991). VerifyConvergence. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/VerifyConvergence.htmlBibTeX
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@misc{reference.wolfram_2025_verifyconvergence, author="Wolfram Research", title="{VerifyConvergence}", year="2008", howpublished="\url{https://reference.wolfram.com/language/ref/VerifyConvergence.html}", note=[Accessed: 09-July-2025
]}BibLaTeX
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@online{reference.wolfram_2025_verifyconvergence, organization={Wolfram Research}, title={VerifyConvergence}, year={2008}, url={https://reference.wolfram.com/language/ref/VerifyConvergence.html}, note=[Accessed: 09-July-2025
]}