x² + x - 30 |x - 51 (a) Find the following limits. (If an answer does not exist, enter DNE.) Let g(x) = (1) lim g(x) x→5+ (ii) lim g(x) x45 (b) Does lim_ g(x) exist? X-5 O Yes No (c) Sketch the graph of g. O -20 -10 y 20 10 -10 -20 10 20 X -20 -10 y 20 10 -10 -20 10 20 X -20 -10 20 10 -10 y -20 10 20

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
x² + x - 30
|x - 51
(a) Find the following limits. (If an answer does not exist, enter DNE.)
Let g(x) =
(1)
lim g(x)
x→5+
(ii) lim g(x)
x 5
(b) Does lim_g(x) exist?
x-5
Yes
O No
(c) Sketch the graph of g.
-20
-10
y
20
10
-10-
-20
10
20
X
10
JJ
X
10
20
-20
-20
y
-10
20
-10
-20
-10
20
10
-10
-20
10
C
20
Transcribed Image Text:x² + x - 30 |x - 51 (a) Find the following limits. (If an answer does not exist, enter DNE.) Let g(x) = (1) lim g(x) x→5+ (ii) lim g(x) x 5 (b) Does lim_g(x) exist? x-5 Yes O No (c) Sketch the graph of g. -20 -10 y 20 10 -10- -20 10 20 X 10 JJ X 10 20 -20 -20 y -10 20 -10 -20 -10 20 10 -10 -20 10 C 20
-20
-10
20
у
10
-10
-20
10
20
X
Transcribed Image Text:-20 -10 20 у 10 -10 -20 10 20 X
Expert Solution
Step 1: given

g open parentheses x close parentheses equals fraction numerator open parentheses x squared plus x minus 30 close parentheses over denominator open vertical bar x minus 5 close vertical bar end fraction

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