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
uysha [10]
3 years ago
7

Determine if convergent or divergent using comparison tests

Mathematics
1 answer:
ikadub [295]3 years ago
8 0
\displaystyle\sum_{k\ge1}\frac{\sqrt[3]{k^2+1}}{\sqrt{k^3+2}}\sim\sum_{k\ge1}\frac{k^{2/3}}{k^{3/2}}=\sum_{k\ge1}\frac1{k^{5/6}}

Recall that \displaystyle\sum_{k\ge1}\frac1{k^p} diverges for 0\le p\le1. 5/6 falls in this interval, so this series must diverge, and so must the original one by comparison.
You might be interested in
I need help asap pleaseeeeeee
skad [1K]

Step-by-step explanation:

if the volume of a cylinder is given by v=pi*h*r^2 lets find each volume and find their ratio. volume of a is 50.24 and volume of c is 200.96. so the ratio is 200.96:50.24. let's simply this by saying 200.96/50.24 to see how many of the smaller cylinders A it takes to equal 1 of the larger cylinder C. it is 4. the ratio is 1:4. 1 large cylinder C is equal to 4 smaller cylinders A

8 0
3 years ago
Read 2 more answers
Given tantheta = 4/3 and pi < theta < 3pi/2; find cos2theta
Sidana [21]

Answer:

d. -7/25

Step-by-step explanation:

π<θ<3π/2  in third quadrant

tanθ = 4/3

sinθ = - 4/5

cosθ = - 3/5

cos 2θ = cos²θ - sin²θ = (- 3/5)² - (- 4/5)² = 9/25 - 16/25 = - 7/25

8 0
3 years ago
Read 2 more answers
For each number, name its opposite.
sweet [91]

Answer:

a. 5

b. 1

c. 2

d. -28

e. 10.4

f. 11.41

g. 8003

h. 1

4 0
2 years ago
Negative two and one-third minus negative ten and one-sixth? what is the answer
alexandr402 [8]

Answer:

7 5/6

Step-by-step explanation:

8 0
3 years ago
0.48 is ____% of 1.6. Do not round you answer.
umka21 [38]

Answer:

30% is correct welcome

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the solution of each proportion?
    12·1 answer
  • The jackson family is traveling 385 mikes, Mrs jackson says they will drive 48 miles each hour. About how many hour will the fam
    6·1 answer
  • Question
    8·2 answers
  • Please help? <br> Which equation of a line is written in slope-intercept form?
    9·2 answers
  • PLEASE HELP!!!
    5·1 answer
  • PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!<br><br> What is (f+g)(x) ?
    15·2 answers
  • Scarlett is playing a video game. She spends 900 minerals to create 18 workers. Each worker costs the same number of minerals.
    9·2 answers
  • To the nearest hundredth, which is the value of x in the solution of the following system? 3.5x - 2.8 = -4.67x + 12.5 Select one
    8·1 answer
  • Nadia is paid $700 dollars a week. Her pay is increased by 5%.
    15·1 answer
  • A motivational speaker charges $5 for an adult's ticket and $2 for a child's ticket. For one event, he sold 785 tickets for $328
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!