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sergejj [24]
3 years ago
11

If f(x) = ln(2), then limx--->2 (f(2)-f(x))/x-2

Mathematics
1 answer:
Blizzard [7]3 years ago
7 0

Answer:

  • as written, -2
  • with denominator parentheses, 0
  • with f(x)=ln(x) and denominator parentheses, -1/2

Step-by-step explanation:

The problem as stated asks for the limit as x approaches 2 of (0/x) -2.

As written, the limit is (0/2) -2 = -2.

<u>Explanation</u>: f(x) is a constant, so the numerator is 0. The ratio 0/x -2 is defined as -2 everywhere except x=0. So, the value at x=2 is 0/2 -2 = -2.

__

If you mean (f(2) -f(x))/(x -2), that limit is the limit of 0/(x-2) = 0 as x approaches 2.

<u>Explanation</u>: f(x) is a constant, so the numerator is 0. The ratio 0/(x-2) is zero everywhere except at x=2. The left limit and right limit are both 0 as x approaches 2. Since these limits agree, the limit is said to be 0.

__

If you mean f(x) = ln(x) and you want the limit of (f(2) -f(x))/(x -2), that value will be -1/2.

<u>Explanation</u>: The value of the ratio is 0/0 at x=2, so we can find the limit using L'Hôpital's rule. Differentiating numerator and denominator, we have ...

  lim = (-1/x)/(1)

The value is -1/2 at x=2.

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You have inherited land that was purchased for $25,000 in 1970. The value of the land has appreciated by
Darina [25.2K]

Answer:

Future value of land = 25,000[1.04]³⁰

Future value of land = $81,084 (Approx.)

Step-by-step explanation:

Given:

Purchase cost of land in 1970 = $25,000

Application rate = 4% per year

Find:

Price of land in 2000

Computation:

Number of year = 2000 - 1970 = 30 year

Future value of land = [Purchase cost of land][1+Application rate]ⁿ

F = P[1+r]ⁿ

Future value of land = 25,000[1+4%]³⁰

Future value of land = 25,000[1+0.04]³⁰

Future value of land = 25,000[1.04]³⁰

Future value of land = 25,000[3.24339]

Future value of land = 81,084.75

Future value of land = $81,084 (Approx.)

5 0
3 years ago
9,513 rounded to the nearest thousand
zhenek [66]
9513 rounded to the nearest thousandth is 10,000.

I hope that helped! :>
4 0
3 years ago
Read 2 more answers
PLEASE HELP!! WILL MARK BRAINLIEST!!
sladkih [1.3K]

Answer:

if u have any doubts feel free to ask :)

Step-by-step explanation:

Sum of ratio : 9 + 7 + 4 = 20

a)

Adele share :

                   \frac{9}{20} \times 680 = 9 \times 34 = \$ 306

b)

Barbara share :

                    \frac{7}{20} \times 680 = 7 \times 34 =\$ 238

Collette share :

                     \frac{4}{20} \times 680 = 4 \times 34 = \$ 136

c)

    $            €

 1.125           1

 306            x

    \frac{1.125}{306} = \frac{1}{x}          [cross multiply]

x =\frac{ 306} {1.125}

x = €272

Adele receives = €272

d)

Apple        Cost

 1 kg         2.69

 5 kg          y

y = 2.69 x 5 = $13.45

Cost of 5kg of apples = $13.45

Cost of 3 kg bananas = 17.56 - 13.45 = $4.11

Banana             Cost

  3kg                 4.11

   1 kg                 z

   

  z = \frac{4.11}{3}

z = $1.37

Cost per kilogram of banana = $1.37

e) Collette share = $136

Half of it on clothes = (1/2) x 136 = $68

(1/5) of her share on books = (1/5) x 136 = 27.20

Balance amount with her = 136 - 27.20 - 68 = $ 40.80

 

7 0
2 years ago
What are the domain and range of the function represented by the table?
agasfer [191]
The answer to your question is c
4 0
2 years ago
A chord is 5 inches from the center of a circle whose diameter is 26 inches. What is the number of centimeters in the length of
lilavasa [31]
First of all, sorry for not including a picture - I hope I can describe this well enough:

Call the centre of the circle O, the chord AB (touching the circumference at A and B) and the midpoint of AB M. From circle theorems, we know that a radius, passing through the midpoint of a chord, will be perpendicular to it. Therefore we have a right-angled triangle OMA, with the hypotenuse OA forming the radius of length 13in, the line OM being 5in as stated in the question, and the side AM being an unknown.

By Pythagoras' theorem, AM = <span>√(13^2 - 5^2) = 12in (it's a 5,12,13 Triple)

Because M is the midpoint of AB, this value needs to be doubled to get the length of AB as 24in. One inch is 2.54cm (3sf), so the length of the chord is:

24 * 2.54 = 60.96cm, which rounds to 61.0cm (3sf)

I hope this helps
</span>
6 0
3 years ago
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