Problem. (problem 2a) Find lim z cos(2/2) エー0 using the Squeeze Theorem. First, we need to find bounds. Since -1 < cos < 1 for all 6, ? sz" cos(2/2) < for all a except a- 0. Next, we need to find the limits of those bounds: lim -z- まー0 and lim z - Since these answers are the same, the Squeeze Theorem allows us to conclude that lim z' cos(2/2) = as well. The Squeeze Theorem can also be used if æ → t0o. Problem. (problem 2b) Find sin z lim
Problem. (problem 2a) Find lim z cos(2/2) エー0 using the Squeeze Theorem. First, we need to find bounds. Since -1 < cos < 1 for all 6, ? sz" cos(2/2) < for all a except a- 0. Next, we need to find the limits of those bounds: lim -z- まー0 and lim z - Since these answers are the same, the Squeeze Theorem allows us to conclude that lim z' cos(2/2) = as well. The Squeeze Theorem can also be used if æ → t0o. Problem. (problem 2b) Find sin z lim
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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pls help with a and b if possible thx
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Problem. (problem 2a) Find
lim aª cos(2/x)
using the Squeeze Theorem.
First, we need to find bounds. Since -1 < cos 0 < 1 for all 0,
? <x* cos(2/x) <
?
for all æ except x = 0. Next, we need to find the limits of those bounds:
lim -x4
and
lim a4
?
Since these answers are the same, the Squeeze Theorem allows us to conclude that
im x* cos(2/2)
as well.
The Squeeze Theorem can also be used if x → ±0.
Problem. (problem 2b) Find
sin x
lim](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F703d9135-e0d9-4510-9d05-0aafc8b67ff5%2F95d678b8-e32c-45d8-936b-cd939a2b7e1d%2Fn346b5_processed.png&w=3840&q=75)
Transcribed Image Text:O Ma
6 We
O Inac
E Unt
E Eng
E Unt
E Ho
G squ
NFL Gar
I ESC
Но
M Nev
O You
O Ne
G 2-S
V cho
Co
n Gra
R Gra
O Atl
G for
+
A ximera.osu.edu/math/calc1Book/calcBook/squeezeTheorem/squeezeTheorem
E Apps
e 8 Puerto Rican Dish..
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arkansas waterparks
E Reading list
XIMERA
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Problem. (problem 2a) Find
lim aª cos(2/x)
using the Squeeze Theorem.
First, we need to find bounds. Since -1 < cos 0 < 1 for all 0,
? <x* cos(2/x) <
?
for all æ except x = 0. Next, we need to find the limits of those bounds:
lim -x4
and
lim a4
?
Since these answers are the same, the Squeeze Theorem allows us to conclude that
im x* cos(2/2)
as well.
The Squeeze Theorem can also be used if x → ±0.
Problem. (problem 2b) Find
sin x
lim
![O Ma
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血ESC
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i ximera.osu.edu/math/calc1Book/calcBook/squeezeTheorem/squeezeTheorem
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arizona waterparks
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XIMERA
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The Squeeze Theorem can also be used if x → too.
Problem. (problem 2b) Find
sin x
lim
using the Squeeze Theorem.
First, we need to find bounds. Since -1 < sin 0 <1 for all 0,
sin x
for all x > 0. Next, we need to find the limits of those bounds:
1
lim
and
1
lim
Since these answers are the same, the Squeeze Theorem allows us to conclude that
sin x
lim
? as well.
Example. (example 3) Use the Squeeze Theorem to find a special limit:
sin(0)
lim](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F703d9135-e0d9-4510-9d05-0aafc8b67ff5%2F95d678b8-e32c-45d8-936b-cd939a2b7e1d%2F8s2h1re_processed.png&w=3840&q=75)
Transcribed Image Text:O Ma
O We
S Ina
E Unt
E Eng
E Unt
E Ho
Ь Му
NFL Gar
血ESC
Но
M Nev
O Ne
G 2-S
V cho
G
Co
n Gra
R Gra
O Atl
G for
+
i ximera.osu.edu/math/calc1Book/calcBook/squeezeTheorem/squeezeTheorem
E Apps
e 8 Puerto Rican Dish..
arizona waterparks
arkansas waterparks
E Reading list
XIMERA
O Get Help
A Save
O Erase
-) Sign In -
The Squeeze Theorem can also be used if x → too.
Problem. (problem 2b) Find
sin x
lim
using the Squeeze Theorem.
First, we need to find bounds. Since -1 < sin 0 <1 for all 0,
sin x
for all x > 0. Next, we need to find the limits of those bounds:
1
lim
and
1
lim
Since these answers are the same, the Squeeze Theorem allows us to conclude that
sin x
lim
? as well.
Example. (example 3) Use the Squeeze Theorem to find a special limit:
sin(0)
lim
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