Question
Asked Sep 21, 2019
sin2 5t
Find lim
t2
t0
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sin2 5t Find lim t2 t0

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Expert Answer

Step 1

We need to evaluate the limit

sin25t
lim
t-0
t2
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sin25t lim t-0 t2

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Step 2

We can rewrite the above limit as

sin25t
lim
t 0
25
X
25
t2
sin25t
lim
t-025t2 X 25
2
sin 5t
25 lim
t-o 5t
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sin25t lim t 0 25 X 25 t2 sin25t lim t-025t2 X 25 2 sin 5t 25 lim t-o 5t

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Step 3

Further,...

sin t
1
lim
t- 0 t
We know that
So,
2
sin 5t
25 (lim
\t-o 5t
= 25(1)2 = 25
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sin t 1 lim t- 0 t We know that So, 2 sin 5t 25 (lim \t-o 5t = 25(1)2 = 25

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Tagged in

Math

Calculus