Let f(x) = (x3 + a)/x. Show that lim x [f (x) x2] = 0.

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Let f(x) = (x3 + a)/x. Show that lim x →±∞ [f (x) – x2] = 0. This shows that the graph of f approaches the graph of y = x2, and we say that the curve is asymptotic to the parabola y = x2. Use this fact to help sketch the graph of f.

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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: Jun 30, 2010 02:33 AM

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Let f(x) = (x3 + a)/x. Show that lim x [f (x) x2] = 0.

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fx x and lim zx I the graph of f is asymptotic to that o...View the full answer

Introduction to Real Analysis

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