Answer
$ \frac{3}{5}$
Work Step by Step
$\frac{x^{2}+5x+4}{x^{2}+3x-4}$
Simplify
$\frac{(x+4)(x+1)}{(x+4)(x-1)}$
Cancel out like terms
$\frac{x+1}{x-1}$
Substitute x for -4
$\frac{(-4)+1}{(-4)-1}=\frac{(-3)}{(-5)}= \frac{3}{5}$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 13 - Section 13.2 - Finding Limits Algebraically - 13.2 Exercises - Page 913: 20
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