Let (xn) be a sequence of positive real numbers such that lim(x~/n) = L < Show that there exists a number r with 0 < r < 1 s. uch that 0 < x n < rn for all sufficiently large n e N. Use this to show that lim(x n) = o. 2
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Textbook: Introduction to Real Analysis
Author: Robert G. Bartle, Donald R. Sherbert
Since the solution to 19 from 3.2 chapter was answered, more than 213 students have viewed the full step-by-step answer. The answer to “Let (xn) be a sequence of positive real numbers such that lim(x~/n) = L < Show that there exists a number r with 0 < r < 1 s. uch that 0 < x n < rn for all sufficiently large n e N. Use this to show that lim(x n) = o. 2” is broken down into a number of easy to follow steps, and 54 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 48 chapters, and 831 solutions. Introduction to Real Analysis was written by and is associated to the ISBN: 9780471321484. This textbook survival guide was created for the textbook: Introduction to Real Analysis, edition: 3. The full step-by-step solution to problem: 19 from chapter: 3.2 was answered by , our top Calculus solution expert on 03/14/18, 07:51PM.