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3 years ago

Find the limit !!!!!!

Mathematics

1 answer:

Tasya [4]3 years ago

6 0

Answer:

1/8.

Step-by-step explanation:

Use l'Hopitals rule - we find the derivative of top and bottom of the fraction.

Derivative of the numerator = 0 - 1/2 (16 - x)^-1/2 -1

= 1 / [ 2 * (16 - x)^1/2

Derivative of the denominator = 1

When x approaches 0 this is 1 / (2*4)

= 1/8.

Another way to do this is to multiply top and bottom by 4 + (16 - x)^1/2

This becomes 16 - (16 - x) / x(4 + (16-x)^1/2)

= 1 / (4 + (16 + x)^1/2

When x ---> 0

this = 1 /(4 + 4)

= 1/8.

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The regular price of a Space Invader game is $30, but it is on sale. The discount is $15. What percent discount is this?

masha68 [24]

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3 years ago

Read 2 more answers

What is Three-fourths divided by one-half? A fraction bar labeled 1. Under the 1 are 4 boxes containing one-fourth. Under the 4

Feliz [49]

Answer: Three-fourths divided by one-half is one and a half.

Step-by-step explanation:

Here we need to find, Three-fourths divided by one-half.

i.e. To find : $\dfrac 34 \div \dfrac 12$

Since , $\dfrac{a}{b}\div\dfrac{c}{d}= \dfrac{a}{b}\times\dfrac{d}{c}$

So, $\dfrac 34 \div \dfrac 12=\dfrac{3}4\times\dfrac{2}1$

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Hence, Three-fourths divided by one-half is one and a half.

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3 years ago

A moon's physical diameter is about 3800.0 km, and its orbital distance from its planet varies between 360,000 km and 430000.0 k

Paul [167]

Answer:

Step-by-step explanation:

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3 years ago

-3p+6p help simplify

GarryVolchara [31]

Step-by-step explanation:

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2 years ago