Re: Why does this series diverge?

In article
<15202262.1146956632862.JavaMail.jakarta@xxxxxxxxxxxxxxxxxxxxxx>,
listless <listlesslist55555@xxxxxxxxx> wrote:

Let Sum a_n be an absolutely convergent series, of which ever a_n is nonzero.

Then the series Sum(2 to inf) (1/[(a_n)(n log n)^2)] still diverges.

"still diverges"? That makes no sense. Anyway, the result is
false: sum (-1)^n/n^2 is absolutely convergent, but the second
sum converges (conditionally). If the a_n's are positive, the
second sum will diverge, but I suppose you can't be bothered to
state the problem precisely.
.

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