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
DerKrebs [107]
3 years ago
8

Determine if the sequence (cosn/ n) converges or diverges. tell if it is absolutely or conditionally convergent

Mathematics
1 answer:
nevsk [136]3 years ago
4 0
. The series is divergent. To see this, first observe that the series ∑ 1/kn for n = 1 to ∞ is divergent for any integer k ≥ 2. 

Now, if we pick a large integer for k, say k > 100, then for nearly all integers n it will be true that 1 > cos(n) > 1/k. Therefore, since ∑ 1/kn is divergent, ∑ cos(n)/n must also be divergent The *summation* is divergent, but the individual terms converge to the number 0.<span>by comparison test since cosn/n <= 1/n is convergent and 1/n is divergent by harmonic series so the series is conditionally converget </span>
You might be interested in
The integral represents the volume of a solid. describe the solid. π π 0 sin(x) dx
Oxana [17]
Is that all the question says ??
4 0
3 years ago
Solo necesito ayuda con las que están en amarillo las otras ya están realizadas
GalinKa [24]
Solo tienes que divide
4 0
3 years ago
4x-5=x-1+3x I need help
labwork [276]

Answer:

x = no solutions

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4x - 5 = x - 1 + 3x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Combine like terms:                    4x - 5 = 4x - 1
  2. Subtract 4x on both sides:          -5 ≠ -1

Here we see that -5 does not equal -1.

∴ This equation has no solutions.

8 0
2 years ago
What is 8 6/15 rounded to the nearest whole number
Lesechka [4]

Answer:

8

Step-by-step explanation:

5 0
3 years ago
I need help with this question...
romanna [79]

Answer:

57 inches

Step-by-step explanation:

It rained 5*6.5+7*3.5=32.5+34.5=57 inches in the past 12 days

8 0
3 years ago
Other questions:
  • A cable service provider charges $40 per month for its basic package plus an additional $5.35 for each premium channel chosen. T
    6·2 answers
  • Suppose a basket of goods and services has been selected to calculate the cpi and 2014 has been selected as the base year. in 20
    15·1 answer
  • Which Situation demonstrates the law of large numbers?
    12·2 answers
  • 1.What is the simplified form of each expression?
    7·1 answer
  • If 80 is 80% of the value what is the value?
    14·2 answers
  • A large zucchini has a mass of about 1/2 kg. About how many grams of mass will 4 large zucchinis have?
    5·2 answers
  • How many pounds are in 3/4 of a ton
    15·2 answers
  • The diagram shows two congursnt polygons
    13·1 answer
  • May I please receive help?
    5·1 answer
  • a box has a length of 15 centimetres , a width of 22 centimetres, and a height of 9 centimetres.what is the surface area of the
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!