Question 4.32) Use the Squeeze Theorem to compute the following limits. Show all your steps. 3.x A) lim 1-→-* sin(3t+1) 1² B) lim- X-00 -2 cos(x) +9x C) lim √ sin (₂) 1-0* D) lim X-8 tan ¹ (sin x) √√x
Question 4.32) Use the Squeeze Theorem to compute the following limits. Show all your steps. 3.x A) lim 1-→-* sin(3t+1) 1² B) lim- X-00 -2 cos(x) +9x C) lim √ sin (₂) 1-0* D) lim X-8 tan ¹ (sin x) √√x
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...
Related questions
Question
Can you please answer question 4.32
![Question 4.11)
Compute the following limits at infinity.
x²-x53 +1
A) lim
x+2
x³ + 2x
D) lim
007-1
-5) 1¹/²
x=3
A) lim
Chapter 4: LIMITS (SECOND PART)
B) lim-10√x
Question 4.21)
Evaluate the following limits.
sin² (t)-1
1-2/2 1-4
X-00
Question 4.12)
Find horizontal asymptotes, if any, for the following.
A) y= f(x)=
x³ +3x-5
2x² + 3x³
B) y(x)=-
+x
Careful: In only one of the above cases should you have the same HA line on both sides.
E) lim ²- +3t²
100 L
Question 4.22)
Evaluate the following limits.
A) lim x(arctan(x)-)
B) lim
x-0
B) lim xx
x-0*
X
1-cos(2x)
x²
2
C) lim-
B) lim-
x2 cos(x) +9x
C) lim
What is lim g(x)? (Invoke a certain theorem... which?)
x-2
2x+3
√√√x²-x
x ln(x)
x² +1
C) lim (1+sin())*
Question 4.31)
Consider f(x)=x² and h(x) = 4x-4.
A) Sketch the graph of these on the interval x= [0,3].
(Draw the two curves on the same figure.)
B) Suppose that there is some function g(x) satisfying f(x) ≥ g(x) > h(x) for all x.
Question 4.32)
Use the Squeeze Theorem to compute the following limits. Show all your steps.
3x
A) lim
sin(3t+1)
1²
4x²-12x+9
D) im 2x²-x-3
C) lim √ sin
1-0*
sin (1/²)
D) lim
tan ¹ (sin x)
√x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2af5a58a-26e3-4baa-9073-1b18b1512b13%2Fe4568642-b67e-4f6b-8d85-dd67db962286%2Fk8aoj3q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 4.11)
Compute the following limits at infinity.
x²-x53 +1
A) lim
x+2
x³ + 2x
D) lim
007-1
-5) 1¹/²
x=3
A) lim
Chapter 4: LIMITS (SECOND PART)
B) lim-10√x
Question 4.21)
Evaluate the following limits.
sin² (t)-1
1-2/2 1-4
X-00
Question 4.12)
Find horizontal asymptotes, if any, for the following.
A) y= f(x)=
x³ +3x-5
2x² + 3x³
B) y(x)=-
+x
Careful: In only one of the above cases should you have the same HA line on both sides.
E) lim ²- +3t²
100 L
Question 4.22)
Evaluate the following limits.
A) lim x(arctan(x)-)
B) lim
x-0
B) lim xx
x-0*
X
1-cos(2x)
x²
2
C) lim-
B) lim-
x2 cos(x) +9x
C) lim
What is lim g(x)? (Invoke a certain theorem... which?)
x-2
2x+3
√√√x²-x
x ln(x)
x² +1
C) lim (1+sin())*
Question 4.31)
Consider f(x)=x² and h(x) = 4x-4.
A) Sketch the graph of these on the interval x= [0,3].
(Draw the two curves on the same figure.)
B) Suppose that there is some function g(x) satisfying f(x) ≥ g(x) > h(x) for all x.
Question 4.32)
Use the Squeeze Theorem to compute the following limits. Show all your steps.
3x
A) lim
sin(3t+1)
1²
4x²-12x+9
D) im 2x²-x-3
C) lim √ sin
1-0*
sin (1/²)
D) lim
tan ¹ (sin x)
√x
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