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skelet666 [1.2K]
3 years ago
12

Prove that lim x->0 cos(1/x) does not exist.

Mathematics
1 answer:
Annette [7]3 years ago
5 0
The limit of the function cos(1/x)  as x approaches zero can be determined by substituting x with zero to the expression given. IN this case, 1/0 is equal to infinity. Using the rule of cosines, the maximum value of the cosine expression is 1. Hence the limit should be 1.
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What is the solution to the equation below?
lara31 [8.8K]

Answer:

x=4096, Option B

Step-by-step explanation:

Given, \log_{8}x=4

Formula needed,

\log_{a}b=\frac{\log b}{\log a}

Therefore,

\log_{8}x=\frac{\log x}{\log 8}

\frac{\log x}{\log 8}=4

{\log x}=4{\log 8}

\log x={\log 8^4}

x=8^4

x=4096

Option B is correct.

8 0
3 years ago
A frosting is made of cream cheese and powdered sugar in
liubo4ka [24]

Answer:

80g

Step-by-step explanation:

4 0
3 years ago
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The cost of a whole box of chips are $60. I have $48. What percentage of the total cost do I have?
goblinko [34]

Answer:

Percentage of total I have = 80%    

Step-by-step explanation:

Given:

Price of Box = $60

I Have = $48

To Find:

Percentage I have = ?

Solution:

In this question we are just supposed to find out the percentage of the Value we have so

Percentage can be found by the formula

Percentage =\frac{Given Value}{Total}*100%

Now we have the values of all

So putting in the values

Percentage =\frac{48}{60}*100%

                    =\frac{4800}{60}%

                            = 80%

So the Percentage of total cost I have is 80%

Percentage of total = 80%    


4 0
3 years ago
Can you solve this? I need help. I don't understand.
ZanzabumX [31]

Answer:

2 sqrt(5) OR 4.5

Step-by-step explanation:

You have to know Pythagorean theorem to solve this question.

a^2 + b^2 = c^2

To use this theorem you have to have a right triangle. There are two right triangles in your image. The lower (larger) one has two sides labeled, so you can use Pythagorean thm to find the third side. There's a short cut, bc some right triangles have easy-to-memorize lengths of the sides. 3-4-5 is one of these number sets. A multiple of this is 6-8-10. We could've solved:

b^2 + 8^2 = 10^2

But it would've come out the same. The unlabeled side is 6.

We can use the 6 and the 4 on the smaller right triangle and use the Pythagorean thm again to solve for x.

4^2 + x^2 = 6^2

16 + x^2 = 36 subtract 16 from both sides.

x^2 = 20

Take the square root of both sides.

sqrt (x^2) = sqrt 20

x = 2 sqrt(5) which is approximately 4.472.

2 sqrt(5) is an exact answer if that is what they are asking for. 4.472 is an approximation to the nearest thousandth. It would be 4.47 to the nearest hundredth or 4.5 to the nearest tenth.

8 0
2 years ago
Select the correct answer. Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting
Natalija [7]
So I have a illustration
4 0
3 years ago
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