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
BaLLatris [955]
3 years ago
15

Limits of a Function

Mathematics
2 answers:
Novay_Z [31]3 years ago
8 0

<u>We are given the equation:</u>

<u></u>\lim_{x \to 1} \frac{f(x)-8}{x-1} = 10<u></u>

which can be rewritten as:

<u></u>\frac{\lim_{x \to 1}[f(x)-8]}{\lim_{x \to 1}[x-1]} = 10<u></u>

<u></u>\lim_{x \to 1}[f(x)-8] = 10*\lim_{x \to 1}[x-1]<u></u>

<u></u>\lim_{x \to 1}[f(x)-8] = \lim_{x \to 1}[10x-10]<u></u>

which means that..

f(x) - 8 = 10x - 10

f(x) = 10x - 10 + 8

f(x) = 10x - 2

<u>Finding the limit:</u>

<u />\lim_{x \to 1} f(x) =  \lim_{x \to 1} (10x - 2)<u />

<u />\lim_{x \to 1} f(x) =  10(1) - 2<u />

<u />\lim_{x \to 1} f(x) =  8<u />

ICE Princess25 [194]3 years ago
8 0

Answer:

8.

Step-by-step explanation:

Limit x --> 1  of (10x - 2 - 8) / (x - 1)   ( BY L'HOPITALS RULE)

=   10/1 = 10.

so f(x) = 10x - 2

The limit as this as x ---> 1 is 8.

You might be interested in
What the answer plzzhelppp
AfilCa [17]

Step-by-step explanation:

You have to find the decimals of them

So the 3rd on is correct

4 0
3 years ago
Which interval for the graphed function contains the local minimum of 0
andrezito [222]
The answer is [-3,2] but the graph isn't on there u cant see. it would be more better understanding if shown the graph to go with it.
7 0
3 years ago
Read 2 more answers
HELPPP!!! WILLBEMARKEDBRAINLIEST 30 POINTSS
Mars2501 [29]

Answer:

Step-by-step explanation:

Base + 4 triangles

(18.4)(27.6) + 2(½×27.7×17.6) + 2(½×18.4×20.4)

5 0
3 years ago
URGENT!!SOMEONE HELP QUICK PLEASE
Paraphin [41]
<h3>Answer:  20%</h3>

Explanation:

The "given the customer ordered a cold drink" means we only focus on the bottom row of values. There are B = 8+12+5 = 25 people who ordered a cold drink. Of that total, A = 5 people ordered a cold large drink.

The probability we want is A/B = 5/25 = 1/5 = 0.20 = 20%

3 0
3 years ago
Completely factor: 45p2 - 120p + 80
3241004551 [841]
45p² - 120p + 80

= 5(9p² - 24p + 40)

=5(3p - 4)²

-----------------------------
Answer: 5(3p - 4)²
-----------------------------
4 0
4 years ago
Other questions:
  • What is the volume of a cylinder with a height of 5cm and diameter of 9cm?
    14·1 answer
  • Please Solve All FIRST ONE IS BRAINLEISS!
    12·1 answer
  • Which answer represents the moon phases in
    6·1 answer
  • Solve kx + 7 = 4 for x.
    5·1 answer
  • Kristy wanted to divide her paint evenly into two-3 1/2-gallon containers. She had 5 1/4 gallons of paint. How much paint did sh
    13·1 answer
  • How do you graph a solution set of an inequality that only has whole numbers
    14·1 answer
  • Which of the following ordered pairs are solutions to the system
    15·1 answer
  • Form the intersection for the following sets.
    10·1 answer
  • A carpenter bought a piece of wood that was 6.85 meters long. Then she sawed 0.57 meters off the end. How long is the piece of w
    6·1 answer
  • A bag contains 5 red balls and 3 blue balls. A ball is picked at random from the bag and not replaced. Another ball is then pick
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!