Answered: IV. Evaluate using root test, ratio…

IV. Evaluate using root test, ratio test and integral test (all three). State why a series is qualified or not for one of the tests Vn-1 п 8 п-0 In(n 9. п-0 2 10. Tn5n6 +

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Suppose that the length of research papers is uniformly distributed from 10 to 23 pages. We survey a…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Q: The probability of distribution for the number of jazz CDs when 4 CDs are selected at random from a…

A: Introduction: Overall total number of CDs available (jazz + classical + rock), N = 5 + 2 + 3 = 10.…

Q: If the probability of occurrence of an event (probability of success) in a single trial of a…

Q: A square with side length 8 is colored white except for 4 black isosceles right triangular regions…

A: To find the probability, we look at the success regiontotal possible region. For the coin to be…

Q: For F∼F(11,5)F∼F(11,5), use technology to find the probability P(F>5.86)P(F>5.86):

A: Solution-: Given: F→F(11,5) We want to find P(F>5.86)=?

Q: The probability that more than one couple had these characteristics assuming there is at least one…

A: Given , n = 50,000 from part (c) values of P(x=0) and P(x=1) is obtained . And the formula for…

Q: 30. Evaluate the expression when x = 3; 2x2 - 5 * %3D 31 12 O 7 13 O O

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Suppose that 11 female and 7 male applicants thave been successfully screened for 5 positions. If…

A: Let P(E) be the probability of the event E, where P(E) is defined…

Q: find the z scores probability 1- left area of -2.5 2- right area of 2.5

A: We have to find out z score for left of -2.5 and right of 2.5 Here we use z score table for finding…

Q: The bus to Union Station leaves every 30 minutes and is uniformly distributed. Find the probability…

A: The probability that a randomly chosen person arriving at a random time will walk between 10 and 15…

Q: According to a genetics theory, a certain cross of guinea pigs will result in red, black, and white…

A: Given, a certain cross of guinea pigs will result in red ,black and white offspring in the ratio…

Q: you throw a dart at the board shown. your dart is equally likely to hit any point inside the…

A: Because we are working with a 45−45−90 triangle, the base and the height have the same length.…

Q: tele gan the contestant must pick of the xpensive cars, and benind thie otner 7 doors are…

A: As per given by the question, determine the probability that the contestant wins the both cars, when…

Q: When 2 products are chosen among the batch of stale (s) and a fresh (f) products,average of 4…

A: Given- There are four outcomes of the two products chosen with the probability stated as- stale ,…

Q: Q)DETERMINE THE PROBABILITY THAT A NUMBER LESS THAN 4 WILL BE ROLLED WHEN ROLLING A DIE? a)(1/2)…

Q: chat out of 6 bulbs at least one ゴ) i) greater than 4 between 1 and 3 will be leaving a life of 100…

A: Given: p=0.05 n=6

Q: One ticket is selected at random from 50 tickets numbered 0, 01, 02, ……, 49. Then, the…

A: Given: One ticket is selected at random from 50 tickets numbered 0, 01, 02, ……, 49.

Q: a. Plantea sin evaluar una integral iterada para evaluar [[ ƒ (x, y)dA, donde f(x,y)=1+x²y', & R es…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: A test was given to a group of students. The grades and gender are summarized below A B C Total…

A: Given data; A B C Total Male 18 11 8 37 Female 15 13 17 45 Total 33 24 25 82

Q: How many random errors of magnitude plus of minus one would be necessary to have 35 different ways…

Q: The probability trat apatrent recover from ablood disease is (o.6). If it is Known that (1o people)…

Q: In an experiment, the probability that event A 7 the probability that event B occurs 8° occurs is is…

Q: Or a DIIAD IS days iS .05. Find the probability that out of 6 bulbs i) ii) iii) at least one none…

A: Given Data Probability of success,p = 0.05 Probability of failure,q=(1- 0.05 )= 0.95…

Q: A Certain flight arrives on time 86 percent of the time. Suppose 183, Flights are randomly…

A: Givenn=183p=0.86

Q: Assume that random guesses are made for seven multiple choice.questions on an SAT test, so that…

A: Given data,n=7p=0.3P(X<4)=?

Q: You are a personnel director and are interested in predicting the Number of Shares of Company Stock…

A: Given the summary data table is :

Q: Assume that random guesses are made for 8 multiple-choice questions on a test with 2 choices for…

A: GivenTotal number of questions = n = 8Total number of options = 2P(correct answer) = 0.5 Let X be…

Q: determine the probability density fucntion of Y = X².

Q: An integer is chosen at random from the first two lundred digits. What is the probability that the…

Q: What is the probability if the dealer is showing a 7 and you have a K-5 that the dealer's unknow…

A: Here from the given information we find the probability.

Q: What is the probability that she will get both projects?

A: Tammy is a general contractor and has submitted two bids for two projects (A and B). The probability…

Q: Suppose that a number is randomly chosen from the interval (-6,6). What is the probability that…

Q: A jury of 12 people is selected at random from a group of 16 men and 18 women. What is the…

Q: n (2+ 3k)? k=-2 What is the value of the sum O 3 7 n² + O 3 7 n² O 3 7 n + zn 2 O 3 7 2 n² + 2 2 п -…

Question

IV. Evaluate using root test, ratio test and integral test (all
three). State why a series is qualified or not for one of the
tests
Vn-1
п
8 п-0
In(n
9. п-0
2
10.
Tn5n6
+

Expert Solution

Step 1

(Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question specifying the one you’d like answered)

Root test is the test for the positive term series. It states that,

Leta, be a positive term series. Then the series
(a) Converges if lim(a )» <1.
(b) Diverges if lim(a,) >
n 1.
(c) Fails if lim(a)n = 1
Given
Vn-
Ση.
п
n-1
л -1
Let a
п
n-1
Vn-1
lim
2
lim (a
п
п-1
lim
"(/n+1)
n
1
lim 1
1
п
= 1
Hence, root test fails here.

Step 2

Ratio test for positive term series:

Leta, be a positive term series. Then the series
аp1
<1.
(a) Converges if lim
а,
(b) Diverges if lim
= 1
(c) Fails if lim
noa
Vn1
X
аp1
lim
п
= lim
n-o an
n+1
п -1
Vn1-
X
п
lim
n+1
1
1+
1
1
= lim
X
1
1
1
1+
no
n
п
= 1
Hence, ratio test also fails here

Step by step

Solved in 4 steps with 3 images

Similar questions

Regarding the test of significance for the usefulness of the predictor variables x1, x2, and x3 in predicting y, which of the three sums of squares gures in its calculation?
, cnd the random variable ) has X , (n-1) what is the Var Ch)
In an experiment, the probability that event A occurs 5 is , the probability that event B occurs is 1 and the 2' 1 probability that events A and B both occur is 6' What is the probability that A occurs given that B occurs? Simplify any fractions.
The area where events A and B overlap is O A and B O A and B' O A' and B' O A or B to search 12 F3 F4 F5
In the experiment of tussing a fair coin random variable giving 3 timer * is the the number of heads obtained Find a P (05x < 3) 6 P(X (¹)
In an experiment, the probability that event A occurs 7 8 is , the probability that event B occurs is - and the 8' 9' 4 probability that events A and B both occur is 5 What is the probability that A occurs given that B occurs? Simplify any fractions.
Q4// In how many different ways can eleven cakes be distributed among three kids such that each kid gets not less than two cakes and not more than four cakes?
Assuming boys and girls are equally likely, find the probability of a couple having a baby boy when their third child is born, given that the first two children were both boys. The probability is | (Type an integer or a simplified fraction.)