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
Gala2k [10]
1 year ago
13

What is limit of startfraction x cubed minus 1 over x minus 1 endfraction as x approaches 1?

Mathematics
1 answer:
iogann1982 [59]1 year ago
3 0

The value of the given limit lim ₓ → 1 (x³ - 1)/(x - 1) = <u>3</u>.

In the question, we are asked what is the limit of startfraction x cubed minus 1 over x minus 1 endfraction as x approaches 1, that is, lim ₓ → 1 (x³ - 1)/(x - 1).

Unique real numbers are limits in mathematics. Let us consider a real-valued function "f" and a real number "c", the limit is normally defined as lim ₓ → c f(x) = L. The phrase is to be understood as "the limit of f of x, as x approaches c equals L." The right arrow indicates that function f(x) approaches the limit L as x approaches c. The "lim" displays the limit.

The value of the given limit can be calculated as follows:

lim ₓ → 1 (x³ - 1)/(x - 1)

= lim ₓ → 1 (x³ - 1³)/(x - 1), Since 1³ = 1

= lim ₓ → 1 (x - 1)(x² + x + 1)/(x - 1) , using the formula: a³ - b³ = (a - b)(a² + ab + b²)

= lim ₓ → 1 (x² + x + 1), Cancelling (x - 1) in the numerator and the denominator, since x → 1, that is, x is approaching 1 and not equal to 1, implying that x - 1 ≠ 0.

= (1² + 1 + 1), Substituting x = 1, and removing the limit.

= 3.

Thus, the value of the given limit lim ₓ → 1 (x³ - 1)/(x - 1) = <u>3</u>.

Learn more about limits at

brainly.com/question/10434858

#SPJ4

You might be interested in
I'll give brainliest to whoever answers the question correctly!!!!
poizon [28]

Answer:

C. Incomplete sentences

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is -2(4n - 1) +15<br> I think that it is -8n - 13 but i am not sure plz help
ANEK [815]

Answer: Your right!

-8n-13

Step-by-step explanation:

-2(4n-1)+15=

-8n+2-15

Combine like terms- 2-5= -13

so -8n-13

8 0
3 years ago
What is the value of 3/5+2/7
netineya [11]

Answer:

0.8 is your answer

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
ANSWER AND EXPLAIN HOW U GOT IT=BRAINLIST FOR U:)<br> THX
Evgesh-ka [11]
The answers r online for that
4 0
2 years ago
Bob's password consists of a non-negative single-digit number followed by a letter and another non-negative single-digit number
maw [93]

9/20 is the probability that Bob's password consists of an odd single-digit number followed by a letter and a positive single-digit number

It is given that bob's password consists of a non-negative single-digit number followed by a letter and another non-negative single-digit number (which could be the same as the first one).

P (odd single digit number )  =  ( 5 odd single digits / 10 non-negative single digits)  = (5/10)  = 1/2

P (positive single digit number ) =  (9 positive single digits / 10 non-negative single digits)  = 9/10

The total probability is   (1/2) (9/10)  =  9/20

Learn more about word problems here: brainly.com/question/21405634

#SPJ4

5 0
2 years ago
Other questions:
  • (25 points) A construction crew is lengthening a road. Let y represent the total length of the road (in miles). Let x represent
    13·1 answer
  • HELP ASAP 20 POINTS You work two jobs. You earn $10.60 per hour as a salesperson and $7.95 per hour stocking shelves. Your combi
    13·1 answer
  • The mean number of English courses taken in a two–year time period by male and female college students is believed to be about t
    10·1 answer
  • Multiply the Polynomial<br> (2c-1)(5c-7) <br><br> I just need to know how to do it!
    6·2 answers
  • Ashley got a haircut at the local hair salon. The total for her services was $95 and she will give the stylist a 30% tip, what i
    11·1 answer
  • A copy machine can print 480 copies every 4 minutes. How many copies can it print in 10 minutes? :)
    13·1 answer
  • A student observes a difference in the activity level of fish at a pet store. The fish in an aquarium near the window are swimmi
    15·2 answers
  • What is 1 15/16 divede by 7/8 in fraction form
    6·1 answer
  • Help pleasee<br>on the image <br>with the steps.​
    14·2 answers
  • Jordan poured 20 L of water into an empty fish tank if 5/6 of the fish tank was filled find the capacity of the tank
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!