Hi, My troubles with using Series seem to never finish. Can anybody tell me why the following code produces an asymptotic series in powers of 1/x when nmax=50, but adds an oscillatory term involving Sin[x]*Cos[x] when nmax=60? Is this a correct and normal behaviour of Series[]? How can I verify if the correct expansion for real x involves the oscillatory terms?
F[x_]:=BesselJ[0,x]^2+BesselY[0,x]^2;
FullSimplify[Series[F[x],{x,Infinity,nmax},Assumptions->{x>0}],Assumptions->{x>0}]
Leslaw
