2.4.35sin 0Use the relation lim0t0=1 to determine the limit.4 sin (4-4 cos 10t)lim4 4 cos 10tt 0Select the correct choice below and, if necessary, fill in the answer box in your choice.4 sin (4-4 cos 10t)limO A.t 0(Type an integer or a simplified fraction.)4 4 cos 10tB. The limit does not exist.

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Asked Sep 2, 2019
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2.4.35
sin 0
Use the relation lim
0
t0
=1 to determine the limit.
4 sin (4-4 cos 10t)
lim
4 4 cos 10t
t 0
Select the correct choice below and, if necessary, fill in the answer box in your choice.
4 sin (4-4 cos 10t)
lim
O A.
t 0
(Type an integer or a simplified fraction.)
4 4 cos 10t
B. The limit does not exist.
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2.4.35 sin 0 Use the relation lim 0 t0 =1 to determine the limit. 4 sin (4-4 cos 10t) lim 4 4 cos 10t t 0 Select the correct choice below and, if necessary, fill in the answer box in your choice. 4 sin (4-4 cos 10t) lim O A. t 0 (Type an integer or a simplified fraction.) 4 4 cos 10t B. The limit does not exist.

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Expert Answer

Step 1

We substitute 4-4cos10t=h, as t approaches 0 , h also approaches 0. Then, ...

4 sin (4-4 cos10)
lim
4 4cos 10
4-4 cos10 h
t- 0
t0,h-0
4sin (4-4 cos10)_ 1: 4 sinh
lim
t- 0
=4
h
4 4cos 10
h-0
help_outline

Image Transcriptionclose

4 sin (4-4 cos10) lim 4 4cos 10 4-4 cos10 h t- 0 t0,h-0 4sin (4-4 cos10)_ 1: 4 sinh lim t- 0 =4 h 4 4cos 10 h-0

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