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
Kaylis [27]
3 years ago
5

I don't know how do this, I know that I use L'hopitals Rule, I just don't know who to start.

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
5 0
Lim[x.sin(4π/x)] when x →∞. To apply the Hospital rule we need a fraction:

lim[x.sin(4π/x)] could be written:

lim [sin(4π/x)] / (1/x) . Now let's find the derivative of the numerator and the denominator:

Numerator = sin(4π/x) → (Numerator)' = cos(4π/x).(-4π/x²) [Chaine rule
(sinu)' = cosu. u'] So derivative of Numerator = cos(4π/x).(-4π/x²)

Denominator = 1/x → Numerator derivative = -1/x²

Now : (numerator)'/(denominator)' = cos(4π/x).(-4π/x²) / -1/x²
Simplify by x² : → cos(4π/x).(-4π) / -1

OR  cos(4π/x).(4π) . When x→∞ , 4π/x → 0 and cos(0) = 1, then:

lim[x.sin(4π/x)] when x →∞. is 4π

You might be interested in
What number divided by 5 equals 6
djyliett [7]
The answer your looking for is 30
30 ÷ 5 = 6
6 0
3 years ago
Read 2 more answers
Can you explain how the 1.a equals 14/50
gogolik [260]
First thing you have to do is divide up the 3 columns on the right so that all of the squares are the same size. (I did that in black, you can see it on the picture I attached). Then total all of the little squares. I did this in red, and got 50. Now just count up how many of the lighter colored squares you have, I highlighted them in yellow on my picture. I got 14 light squares. So you end up with fourteen light squares out of 50 total squares, which is 14/50. *apologizes for the bad handwriting on the image I did it on phone. If that didn’t help just comment and let me know what’s still unclear.

8 0
3 years ago
Write 2 1/2 miles in 3/4 hour as a unit rate
ValentinkaMS [17]

Answer:

3 1/3 mph

Step-by-step explanation:

2.5 ÷ 0.75 = 3.3

or

5/2 ÷3/4 = 5/2 · 4/3 = 20/6 or 10/3 = 3 1/3

4 0
3 years ago
Sin(5x 3 + 20) = cos(2x 3 + 14)
Ronch [10]
Whts the quiz
I don't understand the quiz
3 0
3 years ago
If there are 48 boys and 32 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
kaheart [24]

Answer:

12 to 8, 6 to 4

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • What is​ 9/10 ​written as a percent?
    14·2 answers
  • What is the area of a regular hexagon with a side length of 12 cm?
    5·1 answer
  • What is f(x)=3x^2-18x+23 into vertex form
    5·1 answer
  • One positive number is 5 times another number. the difference between the two numbers is 1140, find the numbers.
    9·1 answer
  • a small inflatable pool holds 10 gallons of water. a tiny leak causes the amount of water in the pool to change by -0.05 gallon
    12·2 answers
  • A distribution has a mean of 90 and a standard deviation of 15. Samples of size 25 are drawn randomly from the population. Find
    15·1 answer
  • !!(Help me please)!!
    15·1 answer
  • Find the value of the unknown angles in each figure.<br><br>HELPPP​
    10·1 answer
  • Please I really need help! I'll give brainliest also!
    14·1 answer
  • Name one combination of 12 coins
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!