This problem has two parts. The second part will appear after you answer the first part correctly. (a) What are the vertical asymptotes of f(x) = 622 -? Your answer should be a a2 – 36 number, a list of numbers separated by commas, or None. Vertical asymptotes at r = -6,6 (b) Find the following left- and right-hand limits at the vertical asymptote a = -6. Enter I for oo, -I for -o, or DNE for does not exist. 6x? lim -6 x2 – 36 6x? lim m2 36

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
Question

Answer both parts and explain step by step will give 3 upvotes!!

This problem has two parts. The
second part will appear after you answer the
first part correctly.
(a) What are the vertical asymptotes of
f(x)
6x?
-? Your answer should be a
x2 – 36
number, a list of numbers separated by
commas, or None.
Vertical asymptotes at x =
-6,6
(b) Find the following left- and right-hand
limits at the vertical asymptote x = -6.
Enter I for o, -I for -0, or DNE for does not
exist.
6x2
lim
a-6 x2 – 36
6x?
lim
x→-6+ x2
36
Find the following left- and right-hand limits at
the vertical asymptote x = 6.
6x2
lim
x6- x2 – 36
6x2
lim
x6* x2 – 36
Transcribed Image Text:This problem has two parts. The second part will appear after you answer the first part correctly. (a) What are the vertical asymptotes of f(x) 6x? -? Your answer should be a x2 – 36 number, a list of numbers separated by commas, or None. Vertical asymptotes at x = -6,6 (b) Find the following left- and right-hand limits at the vertical asymptote x = -6. Enter I for o, -I for -0, or DNE for does not exist. 6x2 lim a-6 x2 – 36 6x? lim x→-6+ x2 36 Find the following left- and right-hand limits at the vertical asymptote x = 6. 6x2 lim x6- x2 – 36 6x2 lim x6* x2 – 36
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