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Bartle - Introduction To Real Analysis - Chapter 8 SolutionsBartle - Introduction To Real Analysis - Chapter 8 Solutions Section 8.1 Problem 8.1-2. Show That Lim(nx=(1+n2x2)) = 0 For All X2R. Solution: For X = 0, We Have Lim(nx=(1 + N2x2)) = Lim(0=1) = 0, So F(0) = 0. For X 2Rnf0g, Observe That 0 <nx=(1 + N2x 2) <nx=(nx2) = 1=(nx). By The Squeeze Theorem, Lim(nx=(1 + N 2x)) = 0. Therefore, F(x) = 0 For All X2R. Problem 8.1-3. Evaluate Lim(nx=(1+nx .. 7th, 2021

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