Informal Exercise 16. Draw a picture of a number line representing F. Draw b and c in the above proof, and indicate the sets defined by |r – b| < ɛ and |r – e| < e where e is as in the above proof. Observe that the sets do not intersect so there can be no a; simultaneously in both, which is why we got a contradiction. This explains why we chose ɛ = could have chosen ɛ = (c – b)/4, for instance, and obtained a contradiction. However, e = 2(c – b) does not work. Why not? (c - b)/2. Note, we
Informal Exercise 16. Draw a picture of a number line representing F. Draw b and c in the above proof, and indicate the sets defined by |r – b| < ɛ and |r – e| < e where e is as in the above proof. Observe that the sets do not intersect so there can be no a; simultaneously in both, which is why we got a contradiction. This explains why we chose ɛ = could have chosen ɛ = (c – b)/4, for instance, and obtained a contradiction. However, e = 2(c – b) does not work. Why not? (c - b)/2. Note, we
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 63RE
Related questions
Question
Informal Exercise 16.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage