Let f: ℂ→ ℂ be an entire function. If there is some nonnegative integer m and positive constants M,R such that(adsbygoogle = window.adsbygoogle || []).push({});

|f(z)| ≤ M|z|^{m}, for all z such that |z|≥ R,

show that f is a polynomial of degree less that or equal to m.

im really lost on this question. i feel like because there is an inequality sign that i may have to use the ML inequality but ive tried that and i didnt get very far? am i going in the right direction?

any help or hints would be appreciated :-)

thanks

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# Homework Help: Complex analysis question

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