Need help please:

Suppose thatFis analytic in a domainD. Definefby

f(z) = F(z) - F(zo)/ (z - zo)

if z ≠ zo and f(zo) = F'(zo), where zo is a point inD. Show thatfis also analytic in domainD.

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- Mar 9th 2011, 06:04 PMPorter1Showing Analytic Using Derivative Equation
Need help please:

Suppose that*F*is analytic in a domain*D*. Define*f*by

f(z) = F(z) - F(zo)/ (z - zo)

if z ≠ zo and f(zo) = F'(zo), where zo is a point in*D*. Show that*f*is also analytic in domain*D*. - Mar 10th 2011, 09:10 AMgirdav
You can use the power series of $\displaystyle F$.