Which statement identifies and explains Limit of f (x) as x approaches 0?

Which Statement Identifies And Explains Limit Of F (x) As X Approaches 0?

Answers

Answer 1
Third option is correct
Answer 2

Third option, counting from the top.

Remember that we say that a limit exists, like:

[tex]\lim_{x \to 0} f(x) = a[/tex]

if and only if:

[tex]\lim_{x \to 0_-} f(x) = a[/tex]

and

[tex]\lim_{x \to 0_+} f(x) = a[/tex]

Where the above two limits say that when we approach zero from the negative side (the first one) and from the positive side (the second one), we must get the same value.

Also, remember that the limit is an approximation through near points

Then, regardless the fact that f(0) = -2, we can see that as x approaches 0 from both sides, the value of the function approaches 4.

Thus, we can conclude that the limit of f(x) when x tends to zero is equal to 4.

The correct option is the third one.

If you want to learn more about limits, you can read:

https://brainly.com/question/23336448

Which Statement Identifies And Explains Limit Of F (x) As X Approaches 0?

Related Questions

Y'ALL PLEASE PLEASE PLEASE HELP ME I *REALLY* NEED HELP!!!!
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The two triangles shown are congruent: ΔABC ≅ ΔXYZ. Based on this information, which of the following is a true statement? Question options:
A)
∠B ≅ ∠Z
B)
∠A ≅ ∠Y
C) ≅
D)

Answers

Answer:

AB XY

Step-by-step explanation:

They are congruent side angles

HELP DUE SOON!

x = ??

Answers

Answer:

Step-by-step explanation:

The crossed chords theorem says that the segments of one chords multiplied together = the segments of the other chord multiplied together.

Equation

x * 8 = 6 * 12

8x = 72                  Divide by 8

8x/8 = 72/8

x =9

HELPPP PLEASE!!!!!! Which shows how to determine the volume of the pyramid?


Answers

Answer:

A- ⅓(12)(8)(10

Step-by-step explanation:

Volume of a pyramid is ⅓length×width×height

A cube with an edge length of 4 must be filled completely. How many cubic centimeters will be needed

Answers

Answer: [tex]64\ cm^3[/tex]

Step-by-step explanation:

Given

The edge length of the cube is 4 cm

If it is to be filled, then the entire volume of the cube is needed

The volume of the cube [tex](\text{edge length})^2[/tex]

[tex]\Rightarrow V=4^3\\\Rightarrow V=4\times 4\times 4\\\Rightarrow V=64\ cm^3[/tex]

Thus, 64 cubic centimeters is required.

help asap pls!!!! i need the questions answered also !!

Answers

Answer:

it wold be A

Step-by-step explanation:

A room is thrice as long as the breadth. It contains 270m^3 of air and the cost of painting its four walls at Rs 15 per m^2 is Rs. 3600, find the cost of carpeting the floor at Rs. 98 per m^2.

Answers

Answer: ₹2646

Step-by-step explanation:

Given

The volume of the room is [tex]V=270\ m^3[/tex]

cost of painting the walls is ₹[tex]3600[/tex] at the rate of [tex]15\ m^2[/tex]

So, the area of walls is

[tex]\Rightarrow A=\dfrac{3600}{15}\\\\\Rightarrow A=240\ m^2[/tex]

This the area of 4 walls i.e.

[tex]\Rightarrow 240=2[hl+hb]\\\Rightarrow 120=h[l+b]\\\Rightarrow 120=4bh\quad [\text{length is thrice of width}]\\\Rightarrow 30=bh\qua \ldots(i)[/tex]

The volume of the room is given by

[tex]V=l\times b\times h\\270=3b\times b\times h\\90=hb^2\quad \ldots(ii)[/tex]

Divide (i) and (ii)

[tex]\Rightarrow \dfrac{90}{30}=\dfrac{b^2h}{bh}\\\\\Rightarrow b=3\ m[/tex]

So, the length of the room is

[tex]l=3b\\l=3\times 3\\l=9\ m[/tex]

The area of the floor is

[tex]\Rightarrow A_o=l\times b\\\Rightarrow A_o=9\times 3\\\Rightarrow A_o=27\ m^2[/tex]

The cost of flooring is

[tex]\Rightarrow 27\times 98\\\Rightarrow Rs.2646[/tex]

Could someone please help me with this? I would mark you as Brainliest:)

Answers

Answer:

a) The table of values represents the ordered pairs formed by the elements of the sequence ([tex]a_{i}[/tex]) (range) and their respective indexes ([tex]i[/tex]) (domain):

[tex]i[/tex]         [tex]a_{i}[/tex]

1         6

2        11

3        16

4        21

5        26

b) The algebraic expression for the general term of the sequence is [tex]a(i) = 6 + 5\cdot (i - 1)[/tex].

c) The 25th term in the sequence is 126.

Step-by-step explanation:

a) Make a table of values for the sequence 6, 11, 16, 21, 26, ...

The table of values represents the ordered pairs formed by the elements of the sequence ([tex]a_{i}[/tex]) (range) and their respective indexes ([tex]i[/tex]) (domain):

[tex]i[/tex]         [tex]a_{i}[/tex]

1         6

2        11

3        16

4        21

5        26

b) Based on the table of values, we notice a constant difference between two consecutive elements of the sequence, a characteristic of arithmetic series, whose form is:

[tex]a(i) = a_{1} + r\cdot (i - 1)[/tex] (1)

Where:

[tex]a_{1}[/tex] - First element of the sequence.

[tex]r[/tex] - Arithmetic difference.

[tex]i[/tex] - Index.

If we know that [tex]a_{1} = 6[/tex] and [tex]r = 5[/tex], then the algebraic expression for the general term of the sequence is:

[tex]a(i) = 6 + 5\cdot (i - 1)[/tex]

c) If we know that [tex]a(i) = 6 + 5\cdot (i - 1)[/tex] and [tex]i = 25[/tex], then the 25th term in the sequence is:

[tex]a(25) = 6 + 5\cdot (25 - 1)[/tex]

[tex]a(25) = 126[/tex]

The 25th term in the sequence is 126.

At a high school football game, adult tickets cost $6 each and student tickets cost $3 each. The school collected $978 in ticket sales during a game. Write an equation that relates the number of student tickets sold, x, the number of adult tickets sold, y, and the amount of money collected. Then use your equation to determine how many adult tickets were sold if 122 student tickets were sold.

Answers

Answer:

102

Step-by-step explanation:

3x + 6y = 978

x = 122

6y = 978 - 366

y = 612 / 6

y = 102

The mean room temperature from Monday to Saturday is 25oC and the mean room temperature of Saturday and Sunday is 28oC. if the mean room temperature from Monday to Sunday is 26oC, find the room temperature on Saturday

Answers

Answer: 24 °C

Step-by-step explanation:

Mean = [tex]\frac{\text{Sum of n observations}}{n}[/tex]

Given:  Mean room temperature from Monday to Saturday = 25°C

Sum of temperature from Monday to Saturday = 6 x  25°C   [Total 6 days from Monday to Saturday]

=  150°C

Mean room temperature of Saturday and Sunday = 28°C

Sum of temperature of Saturday and Sunday = 2 x28°C

=56 °C

Sum of temperature from Monday to Sunday = 7 x 26°C

= 182 °C

Room temperature on Saturday =  150°C  + 56 °C  - 182 °C

= 24 °C

Hence, the room temperature on Saturday = 24 °C

How to do linear functions using the table ?

Answers

Answer:

-8 = m-2+b

-2 = m-0+b

4 = m2+b

10 = m4+b

Step-by-step explanation:

You just put them in y = mx+b format

Please someone help!!!

Answers

Answer:

Step-by-step explanation:

surface area of cuboid=2h(l+w)

=2*2(12+5)

=4*17

=68 cm^2

Answer:

188 cm²

Step-by-step explanation:

TSA of cuboid = 2(lb + bh + hl)

= 2 {(12*2) + (2*5) + (5*12)}

= 2 (24 + 10 + 60)

= 2 (94)

= 188cm²

How many styles of sneakers are possible if Jared can choose from high-top or low-top, shoelaces or velcro, and the colors black, white, and red?

Answers

12 styles
2(2)(3) = 12

Simplify the expression.
-1/2(-5/6 +1/3)
HELPPPO

Answers

Answer:

0.25

Step-by-step explanation:

Help!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Volume is 144ft³

Step-by-step explanation:

i need help with MAD someone pls help

Answers

Answer:

wh

at am I helping u wit lol use googl

Please helppp not trying to fail

Answers

Answer:

A, 1 inch equals 5 feet.

Step-by-step explanation:

To calculate the answer you have to divide

30 ÷ 6 = 5

So, 1 inch represents 5 feet.

Have a great day!

Answer:

the answer is A

Step-by-step explanation:

do 30÷6 and you get 5ft. so, 1 inch represents 5ft

what value of n will make these two equation into equal value:-
* 4n-5
* 2n+14

Answers

Answer:

Step-by-step explanation:

4n-5=2n+14

4n-2n=14+5

2n=19

n=19/2

Step-by-step explanation:

4n-5=2n+14

4n-2n=14+5

2n=19

n=9.5

What is the value of f(5) ?

Answers

Answer:

243

Step-by-step explanation:

A rectangle measures 7.08cm by 3.2cm what is the area of the rectangle

Answers

Answer:

Measurements= 7.08/3.2

Area of rectangle= 7.08cm×3.2cm

= 22.656 cm(square)

22.656 is your answer

Choose the correct rule for the graph shown.

A) y = 2x

B) y = 3x

C) y = 2x + 6

D) y = 3x + 3

Answers

Answer:

C

Step-by-step explanation:

C i did the test

The correct rule for the graph shown will be;

⇒ y = 3x

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The graph is shown in figure.

Two points on the graph are (2, 6) nd (3, 9).

Now,

Solve for the correct rule of the graph as;

Since, The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

So, We find the slope of the line as;

Two points on the graph are (2, 6) and (3, 9).

Hence,

m = (9 - 6) / (3 - 2)

m = 3/1

m = 3

Thus, The equation of line in point-slope form passing through the points (2, 6) and (3, 9).with slope 3 is defined as;

⇒ y - y₁ = m (x - x₁)

⇒ y - 6 = 3 (x - 2)

⇒ y - 6 = 3x - 6

⇒ y = 3x

Thus, The correct rule for the graph shown will be;

⇒ y = 3x

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

Use the table to describe the locations of the zeros of the quadratic function $f$ .
The zeros are between _ and_ , and between_ and_ .

Answers

Answer:

The zeros are between -4 and -3, and between 0 and 1

Step-by-step explanation:

Here, we want to location of the zeros

As we can know, at the zeros of a quadratic function, the y value at those point is zero

So whenever we have y value being zero, we have it that the x value at that point is a zero or root of the quadratic function

Now, looking at the table, we can see that between the point x = -4 and -3; y moved from -2 to 2

For this movement to occur, we must have passed through 0 as we have -1 ,0 and 1 between the numbers as -2 and 2

So obviously, the root is between -4 and -3

Secondly as we can see, f(x) moved from 2 to -2

The numbers between here are 1 , 0 and -1

So definitely the root lies between the x values of 0 and 1

Classify the following expression below.
3x
O A Constant Monomial
B. Linear Monomial
C. Cubic Monomial
D. Quartic Monomial

Answers

Answer:

It's a cubic monomial now that it's written 3and a multiplication sign meaning three times which is also 3cubed so the answer is C

What is the percent increase or decrease between $3.25 and $3.64?​

Answers

Answer:

12% increase

Step-by-step explanation:

Have a good day :)

A triangular pyramid has a base with an area of 21.8 square meters, and lateral faces with bases of 7.1 meters and heights of 9 meters. Enter an expression that can be used to find the surface area of the triangular pyramid.

Answers

Answer:

Step-by-step explanation:

A triangular pyramid has a base with an area of 21.8 square meters, and lateral faces with bases of 7.1 meters and heights of 9 meters. Enter an expression that can be used to find the surface area of the triangular pyramid.

The expression is written as:

Surface Area = Area of the base + 1/2( Perimeter × Slant height)

The actual distance between two cities is 35 miles. The scale on a map uses 2 inches to represent 5 miles.How many inches apart are the two cities on the map?
A: 3.5 in

Answers

Answer:

14 inches.

Step-by-step explanation:

Answer:

35 miles divided into 1 inch is equal to 7 and 7 divided by 2 equals 3 5 inches.

WELKAS30

f(x)=(x-1)(x+3)(x-4)

Answers

Answer:

Do you want the derivative?!

Answer:

Step-by-step explanation:

multiplication:  (x-1)  *  (x+3)  *  (x-4)

(x-1) * (x+3)

x^2 + 2x - 3

(x^2 + 2x -3)(x-4)

x^3-2x^2-5x+ 12

finding the zeroes:

(x-1)         (x+3)    (x-4)

x-1:0      x+3:0     x-4:0

+1:1          -3:3     +4: 4

x: 1            x:3        x:4

What would it be little help plz

Answers

Answer:

the radius would be 5 centimeters

Question in picture 2 1/2 x 1/3

Answers

Answer:

B

Step-by-step explanation:

What graph represents the function f(x) = |x+3|?

Answers

Answer:

no sé xdxd espero te ayude xd

Answer:

The graph should go left 3 not right 3.

Increased dumping of sewage into a river caused an increase in parasites that attacked the local fish population. Turtles and birds that live in the same community eat the fish. What would happen between the turtles and birds if the fish population decreased by 50% as a result of the parasitism? *

A increased commensalism
B increased competition
C increased mutualism
D increased predation

Answers

Answer: The answer you are looking for is “B increased competition”

Step-by-step explanation: The reason why it is the answer b is when two species eat the same type of food and that said food is decreased as much as 50% there will be a lot of competition that will take place because both species want to survive so it is pretty much anyone for themselves.

Have a nice day!

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