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
kompoz [17]
4 years ago
14

Use graphs and tables to find the limit and identify any vertical asymptotes of the function.

Mathematics
2 answers:
docker41 [41]4 years ago
7 0
Lim x→8- [1/(x-8)]=1/(8-8)=1/(-0)→Lim x→8- [1/(x-8)]=-Infinite

Vertical asymptote: x=8
love history [14]4 years ago
5 0

Answer:

The limit of the function is lim_{x\rightarrow 8^-}\frac{1}{x-8}=-\infty and the vertical asymptotes is x=8.

Step-by-step explanation:

The given function is

f(x)=\frac{1}{x-8}

We need to find the value of

lim_{x\rightarrow 8^-}\frac{1}{x-8}

The graph of the function f(x) is attached below.

From the graph it is clear that the function approaches to -∞ as x approaches to 8 from left. So, by the graph we can say that

lim_{x\rightarrow 8^-}\frac{1}{x-8}=-\infty

The table of values is attached below. From the table it is clear that the value of f(x) decreasing as the value of x is closed to 8 from left. So, by the table we can say that

lim_{x\rightarrow 8^-}\frac{1}{x-8}=-\infty

To find the vertical asymptotes equate denominator, equal to 0.

x-8=0

x=8

Therefore the limit of the function is lim_{x\rightarrow 8^-}\frac{1}{x-8}=-\infty and the vertical asymptotes is x=8.

You might be interested in
Find the 100th term in the arithmetic sequence 0,5,10,15
Viktor [21]

Answer:

easy peasy,

the 'n' th term of any arithmetic sequence can be found with the following formula

=> a + ( n-1) d, [where 'a' if the first term of the sequence, 'n' the number of term we need to find, and 'd' being the common difference between each two consecutive term of the sequence)

all in this case would be,

a = 0

n = 100

d = +5

hence the 100th term would be,

=>  0 + (100 - 1) 5

=> 99 x 5

=> 495

8 0
4 years ago
What is 2 1/4 divided by 1 2/5
sdas [7]
35/16


If you need the work message me.
6 0
4 years ago
The volume of a cube is 27n27 cubic units. What is the lenth of one side of the cube?
sergejj [24]

Answer: B . on your test

Step-by-step explanation:

5 0
3 years ago
In a coin puzzle, guantity refers to the
alukav5142 [94]

Answer:

Number of coins.

Step-by-step explanation:

You mean quantity?

The amount of or number of items (in this case coins).

6 0
3 years ago
Read 2 more answers
What is the area of the triangle?<br> (-5,6)<br> (1,3)<br> (-5,-3)
kati45 [8]

Answer:

27

Step-by-step explanation:

Base is 6 - (-3) = 9

height is 1 - (-5) = 6

so Area = 9 * 6/2 = 27

7 0
3 years ago
Other questions:
  • How do I order 7.21 7.2 7.083
    14·1 answer
  • What is the slope of the line represented by the equation y = 1/5x-3?
    13·1 answer
  • A rectangular garden has a width of 5 feet and a length of 10 feet. If an equal amount is added to both the width and the length
    14·1 answer
  • PLEASE HELP ME!! THANKS!! BRAINLIEST IF CORRECT!
    12·2 answers
  • EVALUATE USING ALGEBRIC IDENTITES <br> 1204²
    15·2 answers
  • What would be themost approriate cudtormy unit to measure the weight of a paper clip. ounces or pounds?
    15·1 answer
  • What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
    9·1 answer
  • Can anyone explain and give answer please?
    7·1 answer
  • Find the volume of the irregular figure. 2 cm 3 cm 4 cm [?] cm3 5 cm 7 cm 3 cm 6 cm
    6·1 answer
  • An online furniture store sells chairs for $200 each and tables for $500 each. Every day, the store can ship no more than 29 pie
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!