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.

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:

Top