(a) Let R be a simply connected region and let f : R → C be a holomorphic functio Fix a point z in R and define F: R → C via F(z) = √( f (6) ds, where C(z) is any contour in R that starts at z and ends at z. i. Show that = √(20.20+41 5 (5) ds, [20,zo+h] F (²0 + h) − F (zo) = √ - 20 for all zo ER and h E C, where h is small enough so that the line segme [zo, zo+h] is contained in R. You may assume without proof that integra of holomorphic functions satisfy contour independence on simply connect regions.

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