2- Which of the following statements is false ?a) O If f: C-→ C is a function which is differentiable at z = i, then itis twice differentiable at z = i.b) O If a polynomial has no roots in C, then it is constant.C)Noned) O Įsin z| < 1 for every z E C.e) O If f: C C is an entire function such that f(2)| < 1, then f isconstant.

From the given statements find the statement which is false. The first statement: a) If f:ℂ→ℂ is a…

2- Which of the following statements is false ? a) O If f: C C is a function which is differentiable at z = i, then it is twice differentiable at z = i. b) If a polynomial has no roots in C, then it is constant. c) None d) O sin z| < 1 for every z E C. e) O If f: C C is an entire function such that f(z)| < 1, then f is constant.

2- Which of the following statements is false ? a) O If f: C C is a function which is differentiable at z = i, then it is twice differentiable at z = i. b) If a polynomial has no roots in C, then it is constant. c) None d) O sin z| < 1 for every z E C. e) O If f: C C is an entire function such that f(z)| < 1, then f is constant.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.4: Ordered Integral Domains

Problem 3E: Prove the following statements for arbitrary elements in an ordered integral domain. a. ab implies...

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