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
artcher [175]
4 years ago
10

Does arctan(5n) converge or diverge?

Mathematics
1 answer:
Travka [436]4 years ago
3 0
If you mean, "does the sequence a_n=\arctan(5n) converge", then yes, since \lim\limits_{n\to\infty}\arctan n=\dfrac\pi2.

If you mean, "does the series \sum\limits_n\arctan(5n) converge", then no, for the reason above (the summand passes the nth limit test for divergence, so the series diverges).
You might be interested in
If a train travels at 78 mph for 10 min what is the distance
Alik [6]

Answer:

13 is the distance

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Use the graph to find the relationship between variable
svetlana [45]

Where is the picture at?

6 0
3 years ago
Determine the slope of y=3x^2-8 at (x,y)
romanna [79]
By definition, the slope of a curve is the rate of change of the independent and dependent variables. When graphed in a Cartesian plane, the slope between any two point on the curve is equal to Δy/Δx. However, we should not that only a linear function has a constant slope. For this problem, the equation is quadratic. Hence, you must specify the point where we should get the slope.

In calculus, the slope is the first derivative of the equation:

<span>y=3x</span>²<span>-8
dy/dx = slope = 6x - 0

Thus, the slope at any point of the curve is 6x. For instance, you want to find the slope of the curve at point (1,1), then the slope is equal to 6(1) = 6 units.</span>
8 0
3 years ago
The volume of a cylinder is 375 pi cm^3. The height is 15 cm. What is the radius of the cylinder
madam [21]
The radius is 3.27 cm, because I used the formula in reverse.
3 0
3 years ago
Help plz. If correct, I follow you or mark brainlist
lbvjy [14]

Answer:

I believe 60 square units in the white rectangle and and 140 square units in the blue. Together would be 200 square units...i think...im sorry if i'm wrong

Step-by-step explanation:

because lxw, 10x6, and lxw, 14x10, add you get 200

5 0
4 years ago
Other questions:
  • Find the dimensions of the rectangle with area 120 square inches and smallest possible perimeter
    10·1 answer
  • Pedro bought 8 tickets to a basketball game. He paid a total of $208. Write an equation to determine whether each ticket cost $2
    11·2 answers
  • Steven purchased a box of chocolate shaped like the one shown in the diagram. The box is 12 inches tall and the area of the bott
    5·1 answer
  • Estimate the quotient 15.5/ 4
    9·1 answer
  • at a blood drive, 5 donors have type AB blood. the other 95 donors had other blood types. what was the ratio of donors with type
    15·1 answer
  • Please let me know asap
    5·1 answer
  • Suppose a principal amount of $2079 were invested into a simple interest account that pays an annual rate of 2.31% then the amou
    10·1 answer
  • A group of students went on a field trip. There were 3 boys for every 4 girls inthe group. If there were 20 girls, how many stud
    10·1 answer
  • What is the volume of a cylinder, in cubic centimeters, with a height of 11 centimeters
    8·1 answer
  • A square has an area of 100 feet square. what is the length of each side
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!