Question: Question 3 (5 points). Let f be an entire function whose real part Re f has an upper bound, that is for all 2: we

 Question 3 (5 points). Let f be an entire function whose

Question 3 (5 points). Let f be an entire function whose real part Re f has an upper bound, that is for all 2: we have Re f (z) s M for some xed real number M. Prove that f is a constant function. Hint: Use Liouville's theorem to 6\"\

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