Question: {Iz] < 1}. Let f:U C be holomorphic. Suppose every point in the image of f lies on the curve y = e* +

{Iz] < 1}. Let f:U C be holomorphic. Suppose every point in

{Iz] < 1}. Let f:U C be holomorphic. Suppose every point in the image of f lies on the curve y = e* + x + sin x if we identify C with R. 1. Let D Prove f is constant. Hint: Show that we must have that f'(z) = 0.

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