- 2 • T AYLOR SERI ES REPRESENTATIONS 257
Proof ,!,. 0 = (z-a)_:(zo-a) = z~a l - (•o ~)/(z-a). The result now follows from
Corollary 4.3 if in it we replace z with (zo -a)/ (z -a). We leave verification
of the details as an exercise. •
We are now ready for the main result of this section.y-+------------x
Figure 7. 2 The constructions for Taylor's theorem.