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 13.2 Algebra Techniques for Finding Limits - 13.2 Assess Your Understanding - Page 903: 17



Work Step by Step

Use the limit properties: $(1) \lim\limits_{x \to a} (px \pm qx)=\lim\limits_{x \to a} p(x) \pm \lim\limits_{x \to a} qx \\ (2) \ \lim\limits_{x \to a} l(x)=l (a) $ where $a$ is a constant. $\lim\limits_{x \to -1} (3x^2-5x) =\lim\limits_{x \to -1}(3x^2) -\lim\limits_{x \to -1} (5x) \\=3(-1)^2-5(-1)\\ =3+5 \\=3-(-5)\\=8$
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