![[Graphics:Images/ComplexFunLimitMod_gr_154.gif]](../Images/ComplexFunLimitMod_gr_154.gif){kind=small}
be
a complex function that is defined in some neighborhood
of ![[Graphics:Images/ComplexFunLimitMod_gr_155.gif]](../Images/ComplexFunLimitMod_gr_155.gif){kind=small}
, except
perhaps at ![[Graphics:Images/ComplexFunLimitMod_gr_156.gif]](../Images/ComplexFunLimitMod_gr_156.gif){kind=small}
. Then ![[Graphics:Images/ComplexFunLimitMod_gr_157.gif]](../Images/ComplexFunLimitMod_gr_157.gif)
Theorem
2.1. Let be
a complex function that is defined in some neighborhood
of , except
perhaps at . Then
Proof.
Proof of Theorem 2.1 is in the book.
Complex Analysis for Mathematics and Engineering
(c) 2006 John H. Mathews, Russell W. Howell