:: deftheorem Def12 defines lim_in+infty LIMFUNC1:def 12 :
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 ) );