Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 1 - Limits and Continuity - 1.2 Computing Limits - Exercises Set 1.2: 11

Answer

$\lim\limits_{x \to -1}\frac{2x²+x-1}{x+1}$ = -3

Work Step by Step

2x² + x - 1 = (x + 1)(2x - 1), so: $\frac{2x² + x - 1}{x+1}$ = 2x - 1 $\lim\limits_{x \to -1}\frac{2x²+x-1}{x+1}$ = $\lim\limits_{x \to -1}2x - 1$ = 2$\times$(-1) - 1 = -3
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