TEAM PROJECT. Zeros. la) Derivative. Show that if f(:) has
Chapter 16, Problem 16.2(choose chapter or problem)
TEAM PROJECT. Zeros. la) Derivative. Show that if f(:) has a zero of order 11 > I at: = :0' then I' (:)has a zero of order 11 - 1 at ::'0. (b) Poles and zeros. Prove Theorem 4.(e) Isolated k-points. Show that the points at whicha nonconstant analytic function fez) has a given valuek are isolated. (d) Identical functions. If ftC;:) are analytic in adomain D and equal at a sequence of points Zn in Dthat converges in D, show that fl(:) == .f2(::') in D.
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