Let A be a fixed constant positive number and f be an entire function with the proper that If(z)|S A(|zl + |zl) for all complex numbers z. Which among the following true about fiz)? az? + bz + 1 where a and b are constants O f(z) is equal to the above az² + bz where a and b are constants f(z) is equal to the above f(z)=sinz+z None of these

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 40E
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6:29
A docs.google.com
Let A be a fixed constant positive number and f be an entire function with the property
that |f(z)| S A(Iz]? + |zl) for all complex numbers z. Which among the following is
true about f(z)?
az? + bz + 1 where a and b are constants
f(z) is equal to the above
az² + bz where a and b are constants
f(z) is equal to the above
f(z) =sinz+z
None of these
Transcribed Image Text:6:29 A docs.google.com Let A be a fixed constant positive number and f be an entire function with the property that |f(z)| S A(Iz]? + |zl) for all complex numbers z. Which among the following is true about f(z)? az? + bz + 1 where a and b are constants f(z) is equal to the above az² + bz where a and b are constants f(z) is equal to the above f(z) =sinz+z None of these
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