Firstly, sorry for bad posting. I was so excited by the new Asymptotics on M11.3 that I forgot old manners .
I enclose pi-asymp-mjc.nb where I (try to) use Asymptotics, and have problems:
(a) n -> infinity does not work with my examples, only n -> finite-integer is ok
(b) Using number function "MoebiusMu" in my examples and in 11.3 examples fails (? not recognised ?).
Asymptotics could be of great value to number theorists. Please advise on (a) & (b).