6. (a) For each n E N, find mn EN such that m²/2 (b) Let n <2< n² Pn - (mn + 1)² n² mn n Show that p → 2 and {pn}_1 is Cauchy. (c) Prove that the sequence {pn}_1 does not converge in Q.
6. (a) For each n E N, find mn EN such that m²/2 (b) Let n <2< n² Pn - (mn + 1)² n² mn n Show that p → 2 and {pn}_1 is Cauchy. (c) Prove that the sequence {pn}_1 does not converge in Q.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 14RE
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