How did you do this question?
Answers
Answer:
R = ∞
I = (-∞, ∞)
Step-by-step explanation:
Use the ratio test:
lim(n→∞)│aₙ₊₁ / aₙ│
lim(n→∞)│[xⁿ⁺⁶ / (2(n+1)!)] / [xⁿ⁺⁵ / (2n!]│
lim(n→∞)│[xⁿ⁺⁶ / (2(n+1)!)] × (2n! / xⁿ⁺⁵)│
lim(n→∞)│x 2n! / (2(n+1)!)│
lim(n→∞)│n! / (n+1)!││x│
lim(n→∞) (1 / (n+1))│x│
0
The series converges if the limit is less than 1.
The limit is always less than 1, so the radius of convergence is infinite.
So the interval of convergence is (-∞, ∞).
Related Questions
On a snowy evening only 2/3 of the registered students in Bob's chessclass came to school. Eighteen students attended that night. Howmany students are registered in Bob's class?
A basketball player scored 26 points in one game. In basketball, some baskets are worth 3 points, some are worth 2 points, and free-throws are worth 1 point. He scored four more 2-point baskets than he did 3-point baskets. The number of free-throws equaled the sum of the number of 2-point and 3-point shots made. How many free-throws, 2-point shots, and 3-point shots did he make?
Solve the inequality.x/3-x-1/2≥1 a. x≤-3 b. x≥-3 c. x≤3 d. x≥3
Q #...10 somebody help me
Answers
Answer: 1234386026
Step-by-step explanation:
Answer:
1,234,386,030
Step-by-step explanation:
Answers
Answer: -1 1/8
Step-by-step explanation: When you have a problem like this, you have to divide.
So you turn the improper fraction into a mixed number which (4 1/2 turns into 9/2) and then you do KCF (Keep Change Flip). So you keep the 9/8, change division into multiplication, and since we are going to put the four over a 1 like this 4/1, we need to change it into 1/4. Then you multiply across. 9x1=9 and 2x4=8 so it would be 9/8. But it's an improper fraction right? So you do long division, and you get -1 1/8.
-103
if he lost the same weight each week that means -412 (the weight he lost) ÷ 4 (number of weeks) = -103 (amount of weight lost in one week)
(b) Find the minimum sample size needed, using a prior study that found that 28% of the respondents said they think Congress is doing a good or excellent job.
(c) Compare the results from parts (a) and (b).
Answers
The sample size just be 752.
What is confidence interval?
A confidence interval (CI) for an unknown parameter in frequentist statistics is a range of estimations. The most popular confidence level is 95%, but other levels, such 90% or 99%, are occasionally used for computing confidence intervals. The fraction of related CIs over the long run that actually contain the parameter's true value is what is meant by the confidence level. The degree of confidence, sample size, and sample variability are all factors that might affect the width of the CI. A larger sample would result in a narrower confidence interval if all other factors remained constant. A wider confidence interval would also be required by a higher confidence level and would be produced by a sample with (1.645 / 0.03)2 * 0.5 * 0.5
=752
Sample size = 752
= 1 - 0.42 = 0.58
margin of error = E =3 % = 0.03
At 90% confidence level z
Hence, The sample size just be 752.
Learn more about confidence interval, by the following link.
#SPJ1
Do the following lengths form a right triangle?
Answers
Answer:
alright this is an easy question to do u have to use the Pythagorean theorem which is a²+b²=c²
so put the number of the triangle in this form for #1
Step-by-step explanation:
1.6²+9²=8²
=117=64
2.5²+13²=12²
=194=144
Sunday at noon, the temperature was 16
degrees above zero. Wednesday at
noon, the temperature was 10 degrees
below zero.
Choose...
16 < -10
-10 > 16
16 > -10
16 < 10
Answers
Answer:
the answer=C.16>-10
Step-by-step explanation:
sixteen is more than Negative ten