Find the limit. (Hint: Let x = 1/t and find the limit as t→ 0+.) lim 3x tan (²) x →∞0 Step 1 You are asked to find the limit of the function 3x tan as x → ∞o. Attempting to evaluate the limit produces an indeterminate form. Thus, we need to rewrite the function in an equivalent form that the limit can be determined. Substitute x = and find the limit as t→ 0+. 3 tan(8t) lim 3x tan (²) X→∞ = lim t-0+ = lim t-0+ sin(8t) t Submit Skin (you cannot come back)
Find the limit. (Hint: Let x = 1/t and find the limit as t→ 0+.) lim 3x tan (²) x →∞0 Step 1 You are asked to find the limit of the function 3x tan as x → ∞o. Attempting to evaluate the limit produces an indeterminate form. Thus, we need to rewrite the function in an equivalent form that the limit can be determined. Substitute x = and find the limit as t→ 0+. 3 tan(8t) lim 3x tan (²) X→∞ = lim t-0+ = lim t-0+ sin(8t) t Submit Skin (you cannot come back)
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
![Find the limit. (Hint: Let x = 1/t and find the limit as t → 0†.)
8
(²)
Step 1
lim 3x tan
x → ∞
8
as x → ∞. Attempting to evaluate the limit produces an indeterminate form. Thus, we need to rewrite the function in an
X
You are asked to find the limit of the function 3x tan
equivalent form that the limit can be determined.
Substitute x = and find the limit as t → 0+.
Submit
lim 3x tan
X→→∞
8
X
=
=
lim
t→0+
lim
t→0+
Skin (you cannot come back!
3 tan(8t)
sin (8t)
t
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab6702de-5579-4c14-bacb-4d8e7e421acd%2Fd0e11514-e68c-4acd-ac84-36bbb585c280%2F9sabm3_processed.png&w=3840&q=75)
Transcribed Image Text:Find the limit. (Hint: Let x = 1/t and find the limit as t → 0†.)
8
(²)
Step 1
lim 3x tan
x → ∞
8
as x → ∞. Attempting to evaluate the limit produces an indeterminate form. Thus, we need to rewrite the function in an
X
You are asked to find the limit of the function 3x tan
equivalent form that the limit can be determined.
Substitute x = and find the limit as t → 0+.
Submit
lim 3x tan
X→→∞
8
X
=
=
lim
t→0+
lim
t→0+
Skin (you cannot come back!
3 tan(8t)
sin (8t)
t
3
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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
![Find the limit. (Hint: Let x = 1/t and find the limit as t → 0+.)
8
an (3)
Step 1
lim 3x tan
X→→∞0
You are asked to find the limit of the function 3x tan
equivalent form that the limit can be determined.
Substitute x =
Submit
and find the limit as t→ 0+.
t
lim 3x tan
X→ ∞
lim
t→0+
Since t → 0+,
8
(³)
Step 2
Rewrite as a product of limits.
sin(8t)
t
=
sin (8t)
t
lim
t→0+
= lim
t → 0+
3
cos(8t)
sin(8t)
t
Skin (you cannot come back)
tan() as x → ∞. Attempting to evaluate the limit produces an indeterminate form. Thus, we need to rewrite the function in an
= lim
t→0+ t
3 tan(8t)
cos (8t)
sin (8t)
and cos(8t) -
3
cos (8t)
3
lim
t→0+ cos(8t)](https://content.bartleby.com/qna-images/question/ab6702de-5579-4c14-bacb-4d8e7e421acd/25dd8bb7-2efa-422d-ba5a-30c499b97e95/a6ncrlm_thumbnail.png)
Transcribed Image Text:Find the limit. (Hint: Let x = 1/t and find the limit as t → 0+.)
8
an (3)
Step 1
lim 3x tan
X→→∞0
You are asked to find the limit of the function 3x tan
equivalent form that the limit can be determined.
Substitute x =
Submit
and find the limit as t→ 0+.
t
lim 3x tan
X→ ∞
lim
t→0+
Since t → 0+,
8
(³)
Step 2
Rewrite as a product of limits.
sin(8t)
t
=
sin (8t)
t
lim
t→0+
= lim
t → 0+
3
cos(8t)
sin(8t)
t
Skin (you cannot come back)
tan() as x → ∞. Attempting to evaluate the limit produces an indeterminate form. Thus, we need to rewrite the function in an
= lim
t→0+ t
3 tan(8t)
cos (8t)
sin (8t)
and cos(8t) -
3
cos (8t)
3
lim
t→0+ cos(8t)
Solution
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