Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 11 - Section 11.2 - Finding Limits Using Properties of Limits - Exercise Set - Page 1153: 28



Work Step by Step

Recall that if $ f $ is a polynomial function, then we have $\lim_\limits{x\to a}f(x)=f(a)$. In order to to find the limit, we will plug $ a $ into the function and then simplify. $\lim_\limits{x\to -1} \dfrac{x^3+2x^2+x}{x^4+x^3+2x+2}=\dfrac{\lim_\limits{x\to -1} x(x+1)^2 }{\lim_\limits{x\to -1} (x+1)(x^3+1)}=\dfrac{-1 \cdot 0}{(-1)^3 +2}=0$
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