4) Prove that if lim(xn) = x and ifx > 0, then there exists a naturalnumber K such that x, > 0 for alln > K.

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Answered: 4) Prove that if lim(x,) = x and if x >…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.2: Integral Domains And Fields

Problem 16E: Prove that if a subring R of an integral domain D contains the unity element of D, then R is an...

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4) Prove that if lim(x,) = x and if x > 0, then there exists a natural number K such that x, > 0 for all n > K.