theorem Th95: :: LIMFUNC1:95

for f being PartFunc of REAL,REAL st f is convergent_in-infty & lim_in-infty f <> 0 & ( for r being Real ex g being Real st
( g < r & g in dom f & f . g <> 0 ) ) holds
( f ^ is convergent_in-infty & lim_in-infty (f ^) = (lim_in-infty f) " )