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Advocard [28]
3 years ago
13

The limit of tan4x/6x as x approaches 0

Mathematics
1 answer:
AleksandrR [38]3 years ago
5 0
\displaystyle\lim_{x\to0}\frac{\tan4x}{6x}=\lim_{x\to0}\frac{\sin4x}{4x}\times\frac{4x}{6x\cos4x}=\dfrac23\lim_{x\to0}\sec4x=\dfrac23
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Why does it takes 3 copies of 1/6 to show the same amount as 1copy of 1 / 2
Veseljchak [2.6K]
Because 1/2 ≠ 1/6.

We know that 1/6 < 1/2, so we can set up an equation to see how many copies are needed for them to be equal.

(1/6)x = 1/2
[(1/6)x] × 6 = [1/2] × 6
x = 6/2 = 3

This equation shows that 1/6 × 3 = 1/2, therefore we need 3 copies of 1/6 to equal 1 copy of 1/2.
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45 plants cost<br>Rs 180<br>find cost of 65 Plant​
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Add 5ft 7in and 4ft 8in together

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a TV has a listed price of 813.95 before tax if the sales tax rate is 6.5% find a total cost of the tv with the sales tax includ
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When babies are born, their lengths are recorded. Maddy is 18 1/2 inches. Her twin Alex, is 20 3/4 inches. How much longer is Ma
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Answer:

Alex is 2 1/4 inches longer than Maddy

Step-by-step explanation:

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