Real Analysis T/F questions, no need to prove   1) Every bounded continuous function attains its maximum and minimum values. 2) Every infinite set is unbounded. 3) If A is a set of real numbers that is not open, then A is closed. 4) If f is continuous on [a,b], then f is uniformly continuous on (a,b).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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Real Analysis

T/F questions, no need to prove

 

1) Every bounded continuous function attains its maximum and minimum values.

2) Every infinite set is unbounded.

3) If A is a set of real numbers that is not open, then A is closed.

4) If f is continuous on [a,b], then f is uniformly continuous on (a,b).

 

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