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
![1. Evaluate the limit if it exists. If it does not exist, justify.
2 сos(За2 + 5) + [6a? + 2]
(a) lim
3x2 + 5
(x – 2)²
(sin(2x2 – 3x – 2)
(b) lim log1
r+2+
3
|
2. Without specifically finding its roots, show that f(x) = 0 for some x E [1, 2] where
x2
4
f(x) = 2 sinh(In(x)) +
2
-
3
3. Define the function
sin(2x – 2)
x <1 or x = 3
х— 1
f(x) =
1< x < 3
3 - x
1
x > 3
x – 3'
Determine if ƒ is continuous at x = 1 and x = 3. If discontinuous, identify the type of
discontinuity.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F916f69a9-50ba-4fd1-b5b4-034058491d21%2Fdce11e92-f014-46cd-9a2f-183a2901e749%2Fgx2b595_processed.png&w=3840&q=75)
Transcribed Image Text:1. Evaluate the limit if it exists. If it does not exist, justify.
2 сos(За2 + 5) + [6a? + 2]
(a) lim
3x2 + 5
(x – 2)²
(sin(2x2 – 3x – 2)
(b) lim log1
r+2+
3
|
2. Without specifically finding its roots, show that f(x) = 0 for some x E [1, 2] where
x2
4
f(x) = 2 sinh(In(x)) +
2
-
3
3. Define the function
sin(2x – 2)
x <1 or x = 3
х— 1
f(x) =
1< x < 3
3 - x
1
x > 3
x – 3'
Determine if ƒ is continuous at x = 1 and x = 3. If discontinuous, identify the type of
discontinuity.
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