Let xn 1 ln(n 1) for n N (a) Use the definition of limit to show that lim(xn) 0 (b) Find a specific value of K() as required in the definition of limit for each of (i) 1 2, and (ii) 1 10 ...

a 1 ln n 1 ln n 1 1 n 1 e 1 Give ...

Let xn := 1/ln(n + 1) for n N. (a) Use the definition of limit to

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Let xn := 1/ln(n + 1) for n ∈ N.
(a) Use the definition of limit to show that lim(xn) = 0.
(b) Find a specific value of K(ε) as required in the definition of limit for each of (i) ε = 1/2, and (ii) ε = 1/10.

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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Question Posted: Apr 07, 2016 10:57 AM

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Let xn := 1/ln(n + 1) for n N. (a) Use the definition of limit to

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Introduction to Real Analysis

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