§4. 1 Series 1. Complex Sequences Def. 4.1.1 Sequences a,=(a,+ib,),n=1,2,,there exists a complex numbera=a+ib.a> converges toa, or a is the limit of thean),if VE>0,3N(e)>0, such that n 2 N implies that a -a<8 Denoted as lim am= a or an→a(m→>) The limit a is unique§4.1 Series 1. Complex Sequences         ( ) ( ) Def. 4.1.1 Sequences = , =1,2,...,there existsa complex number = , converges to , or is the limit of the ,if 0, 0, such that implies that . Denoted as lim or . n n n n n n n n n a ib n a ib N n N n                →  + +      −  = → →  The limit is unique. 