Fill in the blanks in the following proof. Claim: Let xn = 1 + for all n E N. Then x,, does not converge to zero. n NEN we take n = Proof: Take € = | 1 + //| = 1 + //| ≥ € n which completes the proof. N+1 Then 1 for all 2 N-1 Then n we choose 0 N and we verify:
Fill in the blanks in the following proof. Claim: Let xn = 1 + for all n E N. Then x,, does not converge to zero. n NEN we take n = Proof: Take € = | 1 + //| = 1 + //| ≥ € n which completes the proof. N+1 Then 1 for all 2 N-1 Then n we choose 0 N and we verify:
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 58RE
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
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