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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 30E
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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
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.. arizona waterparks arkansas waterparks E Reading list XIMERA O Get Help * Math Editor A Saved! . Erase -) Sign In - 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
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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
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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