3. Consider the sets A = {(-1)" + 4 : n e N} and B = {r € Q : 0

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Answered: limit points?

Math

Advanced Math

limit points?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.1: Graphing Quadratic Functions

Problem 4BGP

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

3. Consider the sets A = {(-1)" + 4 : n e N} and B = {r € Q : 0 <r < 1}. For each set
answer the following (you do not need to prove your responses):
(a) What are the limit points?
(b) Is the set open?
(c) Is the set closed?
(d) Does the set contain any isolated points? (d) Find the closure of the set

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