Find the limit. (Hint: Let x = 1/t and find the limit as t-ot.) lim 7x tan(2) Step 1 You are asked to find the limit of the function 7x tan) as x. Attempting evaluate the limit produces Substitute x = and find the limit as t-ot. www 7x tan(2) = lim Tim Step 2 Rewrite as a product of limits. [sin x) = lim sin(21) 7 tan(2t) [sin(2t) - lim cos(2) Submit Skip (you cannot come back) cos (21) sin(2t) and cos(20) - cos(21) -o* cos(21) Indeterminate form. Thus, we need to rewrite the function in an equivalent form that the limit can be determined.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
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12 limits . Please solve this ASAP, what would specfically go in each box. 

Find the limit. (Hint: Let x = 1/t and find the limit as t- o*.)
Ilm 7x tan(
Step 1
You are asked to find the limit of the function 7x tan() as x- . Attempting to evaluate the limit produces an indeterminate form. Thus, we need rewrite the function in an equivalent form that the limit can be determined.
Substitute x = = and find the limit as t-ot.
7 tan(2t)
lim 7x tan(²) = lim
t-o+
Ilm
t-ot
Step 2
Rewrite as a product of limits.
Since t-ot,
Submit
sin(2t)
[t
= lim
sin(2t)
t-g+
7
cos(21)
sin(2t)
= Ilm
t-o
Skip (you cannot come back)
cos (2t)
sin(2t)
and cos(2t) -
cos(2)
t-o+ cos(21)
Transcribed Image Text:Find the limit. (Hint: Let x = 1/t and find the limit as t- o*.) Ilm 7x tan( Step 1 You are asked to find the limit of the function 7x tan() as x- . Attempting to evaluate the limit produces an indeterminate form. Thus, we need rewrite the function in an equivalent form that the limit can be determined. Substitute x = = and find the limit as t-ot. 7 tan(2t) lim 7x tan(²) = lim t-o+ Ilm t-ot Step 2 Rewrite as a product of limits. Since t-ot, Submit sin(2t) [t = lim sin(2t) t-g+ 7 cos(21) sin(2t) = Ilm t-o Skip (you cannot come back) cos (2t) sin(2t) and cos(2t) - cos(2) t-o+ cos(21)
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Follow-up Question

what would go in that last box?

Step 2
Rewrite as a product of limits.
lim
t-o+
Since t-0¹,
[sin(2t)
t
sin(2t)
7
cos(2t).
||
= Ilm
2-0+
Submit Skip (you cannot come back)
t
sin(2t)
and cos(2t) -
1
7
t-g+ cos(2t)
Transcribed Image Text:Step 2 Rewrite as a product of limits. lim t-o+ Since t-0¹, [sin(2t) t sin(2t) 7 cos(2t). || = Ilm 2-0+ Submit Skip (you cannot come back) t sin(2t) and cos(2t) - 1 7 t-g+ cos(2t)
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