University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 2 - Section 2.2 - Limit of a Function and Limit Laws - Exercises - Page 66: 18

Answer

$\lim\limits_{y \to 2}\frac{y + 2}{y^{2}+5y+6} = 1/5 = 0.2$

Work Step by Step

$\lim\limits_{y \to 2}\frac{y + 2}{y^{2}+5y+6} = \frac{\lim\limits_{y \to 2}(y+2)}{\lim\limits_{y \to 2}(y^{2}+5y+6)}$ = $\frac{2+2}{4+10+6}$ = $\frac{4}{20}$= $\frac{1}{5}$ = 0.2
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