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
Virty [35]
3 years ago
9

Lim t^4 - 6 / 2t^2 - 3t + 7

Mathematics
1 answer:
Harman [31]3 years ago
6 0

I think you meant to say

\displaystyle \lim_{t\to2}\frac{t^4-6}{2t^2-3t+7}

(as opposed to <em>x</em> approaching 2)

Since both the numerator and denominator are continuous at <em>t</em> = 2, the limit of the ratio is equal to a ratio of limits. In other words, the limit operator distributes over the quotient:

\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)}

Because these expressions are continuous at <em>t</em> = 2, we can compute the limits by evaluating the limands directly at 2:

\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)} = \frac{2^4-6}{2\cdot2^2-3\cdot2+7} = \boxed{\frac{10}9}

You might be interested in
The diameter of a circle is 3 meters. what is the radius of the circle?
Alex73 [517]

The radius of a circle is half the length of the diameter so

radius=1.5m

6 0
3 years ago
Read 2 more answers
Direction can be indicated by negative and positive numbers.
stiv31 [10]
Negative and Positive numbers dictate direction on a graph. Negative numbers indicate the point is moving left, and positive numbers indicate the point is moving right.
8 0
3 years ago
2x + y = 2<br><br> x – 2y = -4<br><br> what is x and y?
sergiy2304 [10]

Answer:

x = 0

y = 2

Step-by-step explanation:

2x + y = 2 (Multiply by 2)

x – 2y = -4

4x + 2y = 4

x – 2y = -4

5x = 0

x = 0

2x + y = 2

2(0) + y = 2

0 + y = 2

y = 2

5 0
3 years ago
What is the equation for the line that contains the points (-5 , 2) and (3 , 7)?
baherus [9]

Answer:

y=\frac{5}{8} x+\frac{41}{8}

Step-by-step explanation:

Hope this helps!

5 0
3 years ago
What is the remainder of 6728 divided by 70
yanalaym [24]
The remainder of 6728 divided by 70 is 8, This is because when 6728 is divided by 70, 70 goes into 6728, 96 times evenly. And there is only 8 left.
3 0
3 years ago
Other questions:
  • Which ordered pairs are solutions to the inequality −2x+y≥−4 ?
    6·1 answer
  • Brianna's chocolate chip cookie recipe will make about 3 dozen chocolate chip cookies the recipe calls for 2 1/4 cups of flour a
    5·2 answers
  • Judy can decorate 6 cakes in 3 hours. Exactly how many cakes can Judy decorate in 3/4 of an hour?
    10·2 answers
  • Christine ate 1/3 of her pie. Jimmy ate 1/2 of his pie. How much of a pie did they eat in all?
    14·2 answers
  • Noam solved the equation for k using the following calculations.
    10·2 answers
  • does anyone know how to solve (and find the domain) a math problem like this: (7^5-x)^6-x = 49 (pls include explanation I have a
    14·1 answer
  • The temperature was 68°F. Later that day the temperature was 82°F. How much does the temperature need to rise or fall to return
    11·1 answer
  • Here are 2 math promblems please help
    9·1 answer
  • 1. Kelly is playing with her drone, which she got from Santa last Christmas. When she flies her
    10·1 answer
  • A cube has a volume of 216 cubic inches. What is the width of the cube?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!