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
marishachu [46]
3 years ago
15

Estimate the limit. Picture below

Mathematics
2 answers:
kupik [55]3 years ago
5 0

Answer:

Hence, the limit of the expression:

\lim_{x \to 3} \dfrac{x-3}{x^2-2x-3} is:

\dfrac{1}{4}

Step-by-step explanation:

We have to estimate the limit of:

\lim_{x \to 3} \dfrac{x-3}{x^2-2x-3}

We can also represent the denominator of the function in the limit as:

x^2-2x-3=x^2-3x+x-3\\\\x^2-2x-3=x(x-3)+1(x-3)\\\\x^2-2x-3=(x+1)(x-3)

Hence, we have to estimate the limit of:

\lim_{x \to 3} \dfrac{x-3}{(x+1)(x-3)}\\\\= \lim_{x \to 3}\dfrac{1}{x+1}\\ \\=\dfrac{1}{3+1}\\\\=\dfrac{1}{4}

Hence, the limit of the expression:

\lim_{x \to 3} \dfrac{x-3}{x^2-2x-3} is:

\dfrac{1}{4}

Goryan [66]3 years ago
4 0

Answer:

Choice C is correct answer.

Step-by-step explanation:

We have given expression.

\lim_{x \to \ 3} x-3/x^{2} -2x-3

We have to find the limit of function.

Simplifying the denominator, we have

x²-2x-3

Factoring the above expression, we have

(x-3)(x+1)

\lim_{x \to \ 3} (x-3) / (x-3)(x+1)

\lim_{x \to \ 3} 1/x+1

1 / 3+1

1/4

0.25

hence, \lim_{x \to \ 3} x-3/x^{2} -2x-3 = 0.25

You might be interested in
What are the solutions of 2x2 + 8x + 26 = 0?
Thepotemich [5.8K]

Step-by-step explanation:

2×2 + 8x + 26 =0

4 + 8x + 26 =0

4 + 26 = 0-8x

30 = 8x

divide both sides by th coefficient of x

30

\frac{30}{8}  =  \frac{8x}{8}

=<em>3.75</em>

7 0
3 years ago
2) y = 8 sin 70<br> Identify the key characteristics of the following functions
Tatiana [17]
Daddy chill hshsjajajajajjajsndndkdkkdkdjdjdjdjjdhshdj
4 0
3 years ago
Can someone help me with and and can you please write how you got it so I can understand
EastWind [94]

Answer:

12x + 4

Step-by-step explanation:

ok so a rectangle has 4 sides, 2 of which are called lengths, and 2 of which are widths.

length = 2x-3

width = 4x+5

the perimenter is the total of the 4 sides.

2(2x-3) = 4x-6 (the total for lengths)

2(4x+5) = 8x+10 (the total for widths)

add the 2 together:

12x+4

8 0
3 years ago
Read 2 more answers
Help ASAP give brainest
Vera_Pavlovna [14]

Answer:

B,D

Step-by-step explanation:

waiting for brainlist

4 0
3 years ago
Read 2 more answers
Take 39/50 simplify into a fraction
Nat2105 [25]

Answer:

This fraction is in the simplest form already.

Step-by-step explanation:

This fraction is in the simplest form already. Here is why.

Result in decimals: 0.78

6 0
3 years ago
Other questions:
  • What's the verbal expression for the algebraic expression 1/8y .?
    14·1 answer
  • Systems of equations by substitution
    7·1 answer
  • Find the quotient.<br> #Algebra2 <br> -need help ASAP
    14·1 answer
  • Solve for the unknown variable. 144=-12(x+5)
    15·2 answers
  • To determine the number of trout in a​ lake, a conservationist catches 174 ​trout, tags them and throws them back into the lake.
    11·1 answer
  • Analyze the diagram below and complete the instructions that follow.
    7·1 answer
  • Please help me anyone?<br> Any brainliest
    9·1 answer
  • If a and b are roots of 3x2-6+2=0then find a+b​
    12·2 answers
  • Fernanado saves a total of 8,046 pennies every two weeks. How many pennies does he save in 6 weeks?
    5·1 answer
  • Scott deposited $9,500 in an account that pays 7.25% interest, compounded annually. He left the money in the account for 4 years
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!