(b) A function f: (0, 1) → R that is continuous at all a € (0, 1) except at the points an = for n€ N+, at which it is not continuous.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 55E
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(b) A function f: (0,1) → R that is continuous at all a € (0, 1) except at the points an =
for n€ N+, at which it is not continuous.
Transcribed Image Text:(b) A function f: (0,1) → R that is continuous at all a € (0, 1) except at the points an = for n€ N+, at which it is not continuous.
In each part of this question, you are asked to give an example of something, and explain why
it is an example. You may use all definitions, lemmas, theorems etc. from the lecture notes.
(a) A set ECR with exactly two limit points.
Transcribed Image Text:In each part of this question, you are asked to give an example of something, and explain why it is an example. You may use all definitions, lemmas, theorems etc. from the lecture notes. (a) A set ECR with exactly two limit points.
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