Fill in the blanks in the following proof. Claim: Let x = 1 + for all n E N. Then x, does not converge to zero. n Proof: Take e = . Then NEN we take n = | 1 + ² = 1 + 1 + 1 ≥ € which completes the proof. N+1 1 N-1 > for all we choose 2 Then n 0 N and we verify:
Fill in the blanks in the following proof. Claim: Let x = 1 + for all n E N. Then x, does not converge to zero. n Proof: Take e = . Then NEN we take n = | 1 + ² = 1 + 1 + 1 ≥ € which completes the proof. N+1 1 N-1 > for all we choose 2 Then n 0 N and we verify:
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 25E
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