Question: 39) Suppose that f is an entire function such that for some R > 0, f(z)/z is bounded for |z| 2 R a. Show that

39) Suppose that f is an entire function such that for some R > 0, f(z)/z" is bounded for |z| 2 R a. Show that f(m)(0) = 0 for m > n (Hint: Use Cauchy's Estimate] b. Show that f is a polynomial of degree at most 11 by showing that for all z 6 LC, fik)(z] = 0 for 1:: > n

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