> with (I presume) an infinitely small increment of the n exponent.

Infinitely or finitely?

> '

Consider 1/e. As e->0 the expression has a value, at e=0 it is undefined.

This is basic continuity theory.

The behaviour of zeta(s) around s=1 is analysed at;

http://numbers.computation.free.fr/Constants/Miscellaneous/zeta.html

Jon Perry

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