# Complex / Entire Function : Let f be an entire function such that |f(z)| =<10|z+1| for all |z|>100. Show that f is a linear function, f(z)= pz + q.

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Let f be an entire function such that |f(z)| =<10|z+1| for all |z|>100

Show that f is a linear function, f(z)= pz + q.

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#### Solution Summary

A proof for a complex / entire function is provided. The solution is detailed and well presented.

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