:: deftheorem Def13 defines lim_in-infty LIMFUNC1:def 13 :
for f being PartFunc of REAL,REAL st f is convergent_in-infty holds
for b₂ being Real holds
( b₂ = lim_in-infty f iff for seq being Real_Sequence st seq is divergent_to-infty & rng seq c= dom f holds
( f /* seq is convergent & lim (f /* seq) = b₂ ) );