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
MaRussiya [10]
3 years ago
12

Using L' Hopital's rule, find the limit of

Mathematics
1 answer:
daser333 [38]3 years ago
8 0

Answer:

L=0

Step-by-step explanation:

L=\lim\limits_{x \rightarrow \frac{\pi}{2}}3secx-3tanx

Replacing the value of x we get ∞ - ∞ which is an indetermined expression

We must transform the limit so it can be shown as a fraction and the L'Hopital's rule can be applied:

L=\lim\limits_{x \rightarrow \frac{\pi}{2}}\frac{3-3sinx}{cosx}=\frac{0}{0}

Now we can take the derivative in both parts of the fraction

L=\lim\limits_{x \rightarrow \frac{\pi}{2}}\frac{-3cosx}{-sinx}=3\lim\limits_{x \rightarrow \frac{\pi}{2}}\frac{cosx}{sinx}=3\times 0=0

You might be interested in
At a restaurant, Mike and his three friends decided to divide the bill evenly. If each
kicyunya [14]
Can you take a picture of the work
4 0
3 years ago
Read 2 more answers
If 80 percent is 72 marks what is full marks
Greeley [361]
100 - 80 = 20
80 = 72
20 = ?
72 / 80 = 0.9
20 x 0.9 = 180
180 + 72 = 252
8 0
3 years ago
In a large school district, it is known that 25% of all students entering kindergarten are already reading.
irina [24]

Answer:

D. 0.5256

Step-by-step explanation:

Use binomial probability:

P = nCr p^r q^(n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Given n = 10, p = 0.25, and q = 0.75.

If r = 0:

P = ₁₀C₀ (0.25)⁰ (0.75)¹⁰⁻⁰

P = 0.0563

If r = 1:

P = ₁₀C₁ (0.25)¹ (0.75)¹⁰⁻¹

P = 0.1877

If r = 2:

P = ₁₀C₂ (0.25)² (0.75)¹⁰⁻²

P = 0.2816

So the total probability is:

P = 0.0563 + 0.1877 + 02816

P = 0.5256

7 0
3 years ago
Read 2 more answers
Solve x2 + 8x – 3 = 0 using the completing-the-square method.
Inessa [10]
The answer is the last one !
8 0
2 years ago
a triangle has area 49.5 cm^2. if the base of the triangle is 9 cm, what is the height of the triangle
Anika [276]
Area of a triangle = (height * base ) / 2

height = (Area * 2) / base
height = (49.5 * 2) / 9
height = 99 / 9
height = 10 cm²
3 0
3 years ago
Other questions:
  • Geometry help please!!
    11·2 answers
  • katrina makes 8 free throws for every 10 attempts at this rate how many free throws will she make in 25 attempts
    8·1 answer
  • ames bought a movie ticket and wants to pay for some friends. A ticket costs $6, and he has $38. How many friends can he pay for
    10·2 answers
  • Chloe is having her birthday party at the Griffith Observatory. The observatory charges $75 and an additional $8 per person. If
    6·1 answer
  • During the last week of the semester, students at a certain college spend on the average 4.2 hours using the school’s computer t
    10·1 answer
  • Can someone please help me? make it right..
    5·2 answers
  • The value of a car decreases by 5% each year.
    13·1 answer
  • Two right triangles always similar if
    9·1 answer
  • Jasper was testing H_0: \mu=36H
    5·1 answer
  • First person to answer thse correctly will win a drawing of whatver they want of their selves, brainliest, and FREE PO INTS!!!!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!