I have a question pertaining to a computation I'm trying to carry out. Without getting too much into the details, I have a finite integral over two variables. One integral vanishes, and one diverges allowing for the finite value. I had to regulate the divergent integral so I introduced a small [itex] \epsilon [/itex] that makes that integral finite. Of course, it diverges as [itex] \epsilon \to 0 [/itex] and that other integral goes to zero under this same limit. Turns out I also had to introduce a convergence factor [itex] \delta [/itex]. I am easily able to get a result in terms of [itex] \epsilon [/itex] and [itex] \delta [/itex]. But now I need to take both those parameters to zero but it appears that my answer will depend on which one I take to zero first and how fast it goes to zero.(adsbygoogle = window.adsbygoogle || []).push({});

What is the protocol here? For example, I get terms like [itex] \epsilon \log \epsilon/ \sqrt{\delta} [/itex] which is zero if I take one to zero first and indeterminate if I take the other first. Any help would be appreciated!!

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# Regulated Integral with Convergence Factor

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