(a) Show that if x is an accumulation point of AC M, then there is a sequence of points of A that converges to x. (b) Show that if M is compact then it is complete. (c) Show that in R equipped with its usual metric (d(x, y) = x - y), every point of NCR is isolated.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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pls do a,b and c

Question 8
(a) Show that if x is an accumulation point of AC M, then there is a sequence of points of A that
converges to x.
(b) Show that if M is compact then it is complete.
(c) Show that in R equipped with its usual metric (d(x, y) = |x − y]), every point of N CR is
isolated.
Transcribed Image Text:Question 8 (a) Show that if x is an accumulation point of AC M, then there is a sequence of points of A that converges to x. (b) Show that if M is compact then it is complete. (c) Show that in R equipped with its usual metric (d(x, y) = |x − y]), every point of N CR is isolated.
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