>>11811463Actually, if you study assymptotics, and how to define summation, there are different ways to do it.
If you consider complex variables, there's no such thing as +infinity and -infitity, just infinity.
The borel summation of that series is indeed -1/12, you just cannot interpret it as the normal type of summation.
For most divergent series, there's no way to prove that a result that obtains a finite result for an assymptotic of the series is right, but for some series it is. Some series may be divergent from the usual point of view, but they atill have meaningful representations as finite values.
See literally all of quantum field theory.
