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
Calculus, 10th Edition (Anton)
by Anton, Howard
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 - Page 69: 11
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