lim x→0 √(x²+4)-2/x²​

Answers

Answer 1

The limit of the given function is 1/2

Limit of a function

Given the following limit of a function

lim x→0 √(x²+4)-2/x²​

Substitute the limit to have:

√(0²+4)-2/0²​

√4 - 2/0

2-2/0

0/0 (ind)

Apply the L'hospital rule to have;

lim x→0 d/dx√(x²+4)-2/(d/dx)x²​

lim x→0 (x²+4)^-1/2 * 2x/2x

lim x→0 (x²+4x)^-1/2

Substitute

(4)^-1/2

1/2

Hence the limit of the given function is 1/2

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Related Questions

HURRY HELP


Which of the following is equal to the fraction below?
ОА 5
5
O B.
O C. 8.
)
O D.

Answers

Answer:

A

Step-by-step explanation:

Answer:

A is equal to the fraction

Find the length x.
3
6
3.5

Answers

Answer:

X = 7

Step-by-step explanation:

If you look you can see that the middle line has 6 and 3.

3 is half of 6 right?

So this means that 3.5 is half of whatever x is.

Just multiply 3.5 by 2 to find x.

(3.5)(2) = x

x = 7

Therefore, x is equal to 7.

I hope this helps!!

- Kay :)

Triangle ABC is shown the measure of the interior angle at point A is 40 and the exterior angle point C is 102

Answers

Answer:

∠C (Interior) =78°

∠B (Interior) = 62°

Step-by-step explanation:

Given:

∠A (Interior) = 40°

∠C (exterior) = 102°

Computation:

∠C (Interior) = 180° - 102°

∠C (Interior) =78°

∠B (Interior) = 180° - ∠A (Interior) - ∠C (Interior)

∠B (Interior) = 180° - 78° - 40°

∠B (Interior) = 180° - 118°

∠B (Interior) = 62°

please help me to solve this question ​

Answers

Answer:

2/5

Step-by-step explanation:

Because when you subtract you do you get it.

2/5 hope this helps you

Explain why the formula for sample variance is different from the formula for population variance. Why is it inappropriate to use the formula for population variance in calculating the variance of a sample

Answers

Step-by-step explanation:

The difference in the formula of population and sample variance can be explained as:

Population variance is said to be the value of variance that is calculated from population data, whereas sample variance refers to the variance calculated from sample data. This is the reason why value of denominator in the formula for variance in case of sample data is ‘n-1’, while it is ‘n’ for population data. Hence, the result of both variance and standard deviation derived from sample data is larger than those found out from population data.

Please help
Find KL in the image below.

Answers

Answer:

KL = 8

Step-by-step explanation:

Based on the midsegment theorem, the length of midsegment KL = ½ of the length of the third segment FH.

Thus:

KL = ½(FH)

FH = 16

Plug in the value into the equation

KL = ½(16)

KL = 8

If P(x)=x²+x+7 and Q(x)= 3x² -1, find Q( – 10).

Answers

Answer:

Q(- 10) = 299

Step-by-step explanation:

Q(- 10) = 3.(- 10)² - 1

= 3 . 100 - 1

= 300 - 1

= 299

=> Q(- 10) = 299

What is the equation of the line?

Answers

y = 1/2x + 1
Using rise over run, it takes two movements right and one up to reach a whole number. This means that the slope is 1/2. The y intercept is 1 because the line starts at 1 on the y axis.

30 points!!
Solve for x: the quantity x plus fifty all over two equals thirteen times x

x = 2
x = 5
x = 9
x = 13

Answers

Answer:

A: x = 2

Step-by-step explanation: When plugging in 2 for x, the equation is 26 = 13(2). Process: 2 +50 = 52/2 = 26 and 2 x 13 = 26.

Answer:

Its the first one (x = 2)

Step-by-step explanation:

PLS HELP I’ve been trying to do this but I just can’t do it

Answers

Answer:

the answer is 8:1 so 8/1

Step-by-step explanation:

Answer:

26/3

Step-by-step explanation:

6 cups flour

3/4 cup of sugar

ratio of flour to sugar is

(6 flower : 3/4 sugar) multiply both sides by 4

26 flower : 3 sugar

so the ratio is 26/3

Is this relations a function? Justify your answer. ​

Answers

Answer:

A

Step-by-step explanation:

There need to be more matching points, but there aren't, therefore, its A

Answer:

lets gooo

Step-by-step explanation:

What is 77/20 simplified

Answers

answer:
3.25 or 3 17/20

Breanna thought of a number, added 6 to it, multiplied it by 6, subtracted 6 from her answer, and then divided it by 6. She got a final number of 10. What was her starting number?

Answers

Answer:5

Step-by-step explanation:

If you look at the question in reverse you can backtrack your way through. Take 10 and instead of dividing, multiply it by 10, which is 60, add 6 instead of subtracting, which is 66, divide by 6 instead of multiplying, which is 11 and finally subtract 6 instead of adding, which is 5. Use five and try the question over to make sure you calculated correct.

Which of the following correctly shows the distributive property?
A
4(x + 5) = 5(x + 4)

B
4(x + 5) = (4)(x) + 5

C
4(x + 5) = x + (4)(5)

D
4(x + 5) = (4)(x) + (4)(5)

Answers

D
4(x+5) = (4)(x)+(4)(5)

give answers please!

Answers

Answer:

9.) -3

10.) -4

11.) -5

12.) -2

Step-by-step explanation:

1.) You need to plug in a number from the table into x on the equation

2.) Once you plug in the number divide that number by 3

3.) Once you divide it subtract by 3 from the number you got

4.) Then you get the solution and plug it into the table

Yess this is the answer

noah receives a $5 discount each month on his cell phone bill because he signed up for a auto pay from his bank account over the last 8 months noah has paid a total of 280 for his phone bill what wold noah be charged for his phone bill each month if he soped his auto pay

Answers

Given
Discount - 5
Total in 8 months - 280

280 divided by 8 months
280 divided by 8
= 35

So we know he pays $35 every month now we have to find out if he stops autopay

35 + 5 = 40

Noah would pay $40 every month if he stops autopay as there is just a $5 difference

- If this helped I hope you can mark this as brainlest

11. 4x - 6x + 12 = 18

Answers

Answer:

11. 4x - 6x + 12 = 18

11. 4x - 6x =18-12=6

11. 4x - 6x =6

5.4x=6

x=6/5.4

x=1.111

-2x = 6 so in solving for x divide each side by -2 and you get x = -3

Which line is perpendicular to the line y=-1/3x-2 and passes through the point (1, 4)?

Answers

Answer:

it's answer choice 3

y=3x+1

this is correct on edmentum

what is 1.3h + 3.7 when h = 5

Answers

Answer:

The answer is 10.20

Hope this helps!! :)

Step-by-step explanation:

1.3 * h(5)= 6.5

6.5 + 3.7= 10.20

Answer:

10.2

Step-by-step explanation:

1.3h + 3.7

1.3 x 5 = 6.5

6.5 + 3.7 = 10.2

*** WHITE Given m|n, find the value of x. (2x-3) (6X+17)​

Answers

Answer:I dont belive i know

Step-by-step explanation:

Step-by-step explanation:

can i know the equation is 2x 6x is the x

What is the solution to this system of equations?
PLS HELP FOR A GRADE
100 POINTS IF CORRECT

Answers

Answer:

C

Step-by-step explanation:

(-2,6) is the cordnate where the two cross

more proof:

3x + 12 = -2x + 2

3x + 2x = -12 + 2

5x = -10

x = -10/5

x = -2

y = 3x + 12

y = 3(-2) + 12

y = -6 + 12

y = 6

Tell whether (12, 43) is a solution of y = 3x + 7.
yes
no

Answers

Answer:

yes

Step-by-step explanation:

doris got in trouble because____.

A. she had an unexpected event and no savings
B. she had too much debt
C. her boss fired her
D. she did not work hard enough​

Answers

Answer:

A. she had an unexpected event and no savings

translate Six-sevenths of y is 60

Answers

The equation for the given phrase "Six-sevenths of y is 60" is (6/7) × y = 60 and its solution for y is 70.

According to the given question.

We have a phrase " Six-sevenths of y is 60".

The equation for the above phrase "Six-sevenths of y is 60" is given by

(6/7) × y = 60

Now we have a linear equation in one varibale.

Thereofore, the solution of the equation (6/7) × y = 60 for y is given by

(6/7) × y = 60

⇒ 6y = 60 × 7        (multiplying both the sides by 7)

⇒ 6y = 420

⇒ y = 70

Hence, the equation for the given phrase "Six-sevenths of y is 60" is

(6/7) × y = 60 and its solution for y is 70.

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Write $\frac 15+\left(\frac 15\right)^2+\left(\frac 15\right)^3+\left(\frac 15\right)^4$ as a decimal

Answers

Answer:

0.2496

Step-by-step explanation:

what you could do is make the all the 1/5 into 2/10's.

then you could multiply all of them (2/10) squared (2/10) cubed and (2/10)^4

now you would have 2/10 4/100 8/1000 16/10000

now you can change it into decimals and add

0.2 +0.04+0.008+0.0016

now all you have to do is add when you do you get 0.2496

there are many ways you could do this problem but this is the most efficient becuause I used another way but it was not helpfull.  

Answer: .2496

Aops Question

Step-by-step explanation:

This problem becomes easier if we write $\dfrac{1}{5}$ as $\dfrac{2}{10}$, so that all the denominators in our sum are powers of 10. Then

\begin{align*}

\frac15 + \left(\frac15\right)^2 + \left(\frac15\right)^3 + \left(\frac15\right)^4

&= \frac2{10} + \left(\frac2{10}\right)^2 + \left(\frac2{10}\right)^3 + \left(\frac2{10}\right)^4 \\

&= \frac2{10} + \frac4{100} + \frac8{1000} + \frac{16}{10{,}000} \\

&= 0.2 + 0.04 + 0.008 + 0.0016 \\

&= \boxed{0.2496}.

\end{align*}

7th grade what is the tone, or mood in the beginning of the play? "A christmas carol"

A- Violent and frighting
B- Dark and gloomy
C- Silly and sentimental
D- Loving and festive ​

Answers

Answer:

D

Step-by-step explanation:

Answer:

It's B, Dark and gloomy

Have a great rest of your day!

Stay stay and healthy!

Happy holiday seasons!

May I please have brainliest?

PLSSS CAN SOMEONE HELP MEE, my friend can't figure this out , and the assignment is already overdue , pls someone help :(
this is the first part of it , it also has a B part​

Answers

Answer:

um 1630 divided by 96 and divided by 3equals the answer ? yes yes i think

Step-by-step explanation:

Which one is it guys?

Answers

Answer:

b:not similar

Step-by-step explanation:

Perform the indicated operation and simplify the result. Leave your answer in factored form.

[tex]\frac{5x+20}{8x^{5} }[/tex]·[tex]\frac{x}{x^{2} -16}[/tex]

Answers

Answer:

First, you have to factorize the expressions :

[tex] \frac{5x + 20}{8 {x}^{5} } \times \frac{x}{ {x}^{2} - 16} [/tex]

[tex] = \frac{5(x + 4)}{8 {x}^{5} } \times \frac{x}{(x + 4)(x - 4)} [/tex]

Second, you have to cross out the similar expressions :

[tex] = \frac{5}{8 {x}^{5} } \times \frac{x}{(x - 4)} [/tex]

Third, you have to multiply both fractions :

[tex] = \frac{5x}{8 {x}^{5}(x - 4) } [/tex]

Lastly, you have to simplify :

[tex] = \frac{5}{8 {x}^{4}(x - 4) } [/tex]

Robyn likes to read novels that have fewer than 400 pages. Which inequality represents the number of pages, p, in the novels she likes to read?

Answers

Answer:

p < 400

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

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