Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 13 - A Preview of Calculus: The Limit, Derivative, and Integral of a Function - Section 13.3 One-sided Limits; Continuous Functions - 13.3 Assess Your Understanding - Page 909: 42



Work Step by Step

We find the right-hand limit as follows: $\lim\limits_{x \to 0^{+}} f(x)=\lim\limits_{x \to 0^{+}} \dfrac{x^3-x^2}{x^4+x^2} \\=\lim\limits_{x \to 0^{+}} \dfrac{x^2(x-1)}{x^2 (x^2+1)} \\=\lim\limits_{x \to 0^{+}} \dfrac{x-1}{x^2+1} \\=\dfrac{0-1}{0+1} \\=-1$
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