>>14180244>Nothing you said contradicts what I said.You should read it again then. It is meaningless to consider series as anything but limits of a sequence. Otherwise is just meaningless formalism.
>The basic fact of the matter is that what's true of the partial sums need not be true of their limit.It is logically untenable to consider them as having properties outside of the defining object, a sequence of finite sums. If a contradiction is found such as a sum of positive terms being negative for example, then you have just discovered yet again that you're doing nothing but abusing notation and formalism.
