Answered: 1. A non-empty complete and bounded…

1. A non-empty complete and bounded metric space (X, d) with exactly a countably infinite (not finite) number of limit points.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.6: Quadratic Functions

Problem 57E

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Question

"countable" means countably infinite. So finite examples won’t work.

1. A non-empty complete and bounded metric space (X, d) with exactly a countably infinite
(not finite) number of limit points.

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