Answered: Let f be a mapping from [1,+∞[ to…

Let f be a mapping from [1,+∞[ to [1,+00[, defined by f(x)=x+1/x. Then * f is continuous but it is not a homeomorphism O fis a homeomorphism None of the choices O fis not continuous

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.5: Permutations And Inverses

Problem 8E: 8. a. Prove that the set of all onto mappings from to is closed under composition of mappings. b....

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Concept explainers

Limits of Multivariable Functions

Multivariable calculus is an extension of single variable calculus. It involves several variables instead of just one. Assume there is an open set containing points (x0, y0), let f be a function defined in that open interval except for the points (x0, y0). The multivariable limit of this function as it approaches the points (x0, y0) and is denoted as:

Question

Let f be a mapping from [1,+00[ to
[1,+00[, defined by f(x)=x+1/x. Then *
f is continuous but it is not a
homeomorphism
O fis a homeomorphism
O None of the choices
O fis not continuous

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