1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
labwork [276]
3 years ago
13

Find limit as x approaches two of quantity x squared minus four divided by quantity x minus two. You must show your work or expl

ain your work in words.
Mathematics
2 answers:
Alborosie3 years ago
7 0
^ or if youre not sure how to derive yet, just factor the (x^2 - 4) and you would have (x-2)(x+2)/(x-2). then cross out the (x-2)s from top and bottom then plug 2 in, which gives you 4 :)
Brut [27]3 years ago
3 0

Answer:

4

Step-by-step explanation:

lim           (x^2 - 4) / (x - 2)

x --> 2

When we plug x =2, we get

(2^2 - 4) / (2 - 2)

= (4 - 4)/(2 - 2)

= 0 /0

Which is undefined.

Now we have to use L'hospital rule. Which says we need to differentiate the numerator and the denominator and apply the limit.

When we differentiate x^2 -4, we get 2x

When we differentiate x -2, we get 1


lim        2x/1

x --> 2

Now apply, the limit x = 2

2(2)/1

= 4/1

= 4

Therefore, limit of this function is 4, when x tends to 2.

Hope you will understand the concept.

Thank you.

You might be interested in
The Distributive Property also combines subtraction and multiplication. for example, . 3 * ( 5 - 2 ) = ( 3 * 5 ) - ( 3 * 2 ).
Sholpan [36]
So the problem ask to find or solve the problem using distributive property, so to calculate if using distributive property is just the same calculation if you are multiplying two number using a paper so the answer is 5(8)+5(90)+5(100), 40+ 450+500 = 990. I hope you understand my answer 
6 0
2 years ago
Read 2 more answers
Find the quotient<br> 2758 divided by 28
Mashcka [7]
quotient is 98 1/2   
 
 
           <u> 0098 </u> 14/28
     28 | 2758
          <u>  252  </u>    * 9 x 28 
              238 
           <u>   224 </u>   * 8 x 28
                14

2758 ÷ 28 = 98 14/28  simplified to 98 1/2
4 0
2 years ago
Determining Prime factorization of 20
Elden [556K]
The number 20 is not a prime number.
5 0
2 years ago
Read 2 more answers
Finding missing angles 33 33 x
Levart [38]
Answer:

x + 33 = 180

x = 180 - 33

x = 147


Explanation:

The angle x and the angle 33 are supplementary angles. Supplementary angle are two angle side-by-side one another, and when added, give you 180 degrees.
5 0
2 years ago
Can anyone please help me with these two been working on them and no clue
Lilit [14]

Answer:

360 cents

Step-by-step explanation:

Multiply 0.45 x 8. To get $3.6.

There are 360 cents in three dollars and sixty cents

8 0
3 years ago
Read 2 more answers
Other questions:
  • 7. John's seafood restaurant is trying to estimate its profits. John has found that on average, each meal served costs the resta
    13·2 answers
  • Susan and Mark are standing at different places on a beach and watching a bird. The angles of elevation they make are 20º and 50
    11·2 answers
  • Suppose PR = 54, solve for QR<br> 4x-1<br> 3x-1<br> P<br> R
    5·1 answer
  • Please answer this. you will get branliest if u do
    12·2 answers
  • Bruh why is my accel class so hard?...
    8·2 answers
  • Emergency!!! In the figure, 1 = 2, 3= 4, and TK = TL. You can justify the conclusion that TKS = TLR by the
    5·1 answer
  • Find the value of x, y and z
    9·1 answer
  • What is the value of -2.4÷1.
    6·2 answers
  • Tomas learned that the product of the polynomials (a b)(a2 – ab b2) was a special pattern that would result in a sum of cubes, a
    8·2 answers
  • 5x – 2x + 7 – x = ?x + ?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!