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
kirza4 [7]
3 years ago
6

Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do n

ot show that Rn(x) → 0.] Find the associated radius of convergence R. f(x) = 6(1 − x)−2
Mathematics
1 answer:
weeeeeb [17]3 years ago
6 0

I guess the function is

f(x)=\dfrac6{(1-x)^2}

Rather than computing derivatives of f, recall that for |x|, we have

g(x)=\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n

Notice that

g'(x)=\dfrac1{(1-x)^2}

so that f(x)=6g'(x). Then

f(x)=6\displaystyle\sum_{n=0}^\infty nx^{n-1}=6\sum_{n=1}^\infty nx^{n-1}=6\sum_{n=0}^\infty(n+1)x^n

also valid only for |x|, so that the radius of convergence is 1.

You might be interested in
Israel planted 4 tomato seeds in his garden. Then he planted some flower seeds. Which expression represents the number of seeds
VMariaS [17]

Answer:

Option B - 4 + s

Step-by-step explanation:

Tomato seeds = 4 ( as they told 4 )

Flower seeds = s ( as they told "SOME" )

Total number of seeds = 4 + s seeds

Hope this helps you.

6 0
3 years ago
I need help for number 49
Dmitry_Shevchenko [17]
I'm thinking it's B for that question
8 0
3 years ago
the post for Nancy's gazebo form a regular hexagon what is the measure of the angle formed at Each corner of the gazebo ​
inysia [295]

Answer: 120 degrees, the total is 720 degrees, so that divided by 6 is 120

6 0
3 years ago
Use the figure to the find the measures of the numbered angles​
mina [271]

Answer:

sdcce

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
You decide to take your car on a drive through Canada, where gas is sold in liters and distances are measured in kilometers. Sup
12345 [234]

Answer:

the no of liters required is 50.55 liters

Step-by-step explanation:

Given that

The car gas efficiency is 23.0 mi/gal

distance is 495 km

1 gal = 3.78 L

1 km = 0.6214 mi

We need to find out the no of liters of gas that would needed to complete a trip

So,

= (495 × 3.78 × 0.6214) ÷ (23)

= 50.55 Liters

hence, the no of liters required is 50.55 liters

7 0
3 years ago
Other questions:
  • Factor completely 2x2 − 50.
    14·2 answers
  • Can someone help with a couple econ questions? What percentage of total income does the highest fifth of the population receive?
    12·1 answer
  • HELP PLEASEEE, I REALLY DO NOT UNDERSTAND THESE QUESTIONS. THANK YOU HELP IS VERY MUCH APPRECIATED!!! ASAP
    15·1 answer
  • Jeremy bought a $60 pair of sneakers on sale for 15% off. Then, he used a coupon that gave him an additional 10% off. Can Jeremy
    14·1 answer
  • You receive a raise in your hourly pay from $8.25 per hour to $9.25 per hour. What percent increase in pay does this represent?
    10·2 answers
  • See attachment. PLEASE HELP ASAP!!!!! Thank you!!!
    13·1 answer
  • It says round all calculations to one decimal point <br> Pls show workings it due in a hour
    11·1 answer
  • Suppose y =2x+10. Find Y if x=4<br><br> Suppose Y = 2x - 4. Find X if y=10
    12·1 answer
  • Share $150 among John, Mary, and Sarah so that each of the two girls receives twice as much as John. Calculate the amount of mon
    5·1 answer
  • or a 10 point quiz, the professor recorded the following scores for 8 students: 7, 8, 3, 9, 10, 6, 8, 5 What is the Mean for thi
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!