Let X if x < 1 5 if x = 1 g(x) 2 x2 if 1 2 (a) Evaluate each of the following, if it exists. (If an answer does not exist, enter DNE.) (i) lim g(x) x 1 (ii) lim g(x) x+1+ (iii) g(1) (iv) lim g(x) x-2 (v) lim g(x) x-2+ (vi) lim g(x) x-2 (b) Sketch the graph of g. 2x
Let X if x < 1 5 if x = 1 g(x) 2 x2 if 1 2 (a) Evaluate each of the following, if it exists. (If an answer does not exist, enter DNE.) (i) lim g(x) x 1 (ii) lim g(x) x+1+ (iii) g(1) (iv) lim g(x) x-2 (v) lim g(x) x-2+ (vi) lim g(x) x-2 (b) Sketch the graph of g. 2x
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
![Let
X
if x < 1
5
if x = 1
g(x)
2 x2
if 1<x≤2
x-3 if x > 2
(a) Evaluate each of the following, if it exists. (If an answer does not exist, enter DNE.)
(i)
lim g(x)
x 1
(ii)
lim g(x)
x+1+
(iii)
g(1)
(iv)
lim g(x)
x-2
(v)
lim g(x)
x-2+
(vi) lim g(x)
x-2
(b) Sketch the graph of g.
2x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a6e4794-5644-431d-9e96-b37fbaf0b60a%2F6de386eb-e5ca-4a12-9bcb-3233c85170db%2F5kfam3p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let
X
if x < 1
5
if x = 1
g(x)
2 x2
if 1<x≤2
x-3 if x > 2
(a) Evaluate each of the following, if it exists. (If an answer does not exist, enter DNE.)
(i)
lim g(x)
x 1
(ii)
lim g(x)
x+1+
(iii)
g(1)
(iv)
lim g(x)
x-2
(v)
lim g(x)
x-2+
(vi) lim g(x)
x-2
(b) Sketch the graph of g.
2x
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