Prove Theorem 9.18 Data from in Theorem 9.18 THEOREM 9.18 Root Test 1. The series a,
Question:
Prove Theorem 9.18
Data from in Theorem 9.18
Transcribed Image Text:
THEOREM 9.18 Root Test 1. The series Σ a, converges absolutely when lima 2. The series Σ a, diverges when lim /a n→∞ 3. The Root Test is inconclusive when lim n→∞0 n→∞ > 1 or lim /|a₂| = ∞o. n→∞ |a₁|= 1.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 40% (5 reviews)
First let lim a r 1 n0 and choose R such that 0 r R 1 There must exist some N 0 such that R for a...View the full answer
Answered By
PRINCE PANDEY
I am Indian Chartered Accounting having a strong hold in the subjects of Accounting, IFRS Reporting, Indian
Taxation, Cost Accounting, Auditing. I have vast experience of teaching a student with easy way problem-solving approach.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Prove Theorem 5.3.3. Prove that by applying Taylors theorem with remainder (see Exercise 13 in Sec. 4.2) to the function f(x) = log(1 + x) around x = 0. lim n log(+an)-ancn 0
-
Prove Theorem 9.1.3. In Theorem 9.1.3. One-Sided Confidence Intervals from One-Sided Tests. Let X = (X1, . . . , Xn) be a random sample from a distribution that depends on a parameter . Let g() be a...
-
Prove Theorem 6.2.10. Let X1,..., Xn be iid observations from a pdf or pmf f(x|θ) that belongs to an exponential family given by where θ = (θ1, θ2,...
-
The ABC Company has a cost of equity of 24.76 percent, a before-tax cost of debt of 5.37 percent, and a tax rate of 26 percent. What is the firm's weighted average cost of capital if the proportion...
-
Relevant costs, capital budgeting, strategic decision. (M. Porporato, adapted) Wilcox is a family-owned company that has been making microwaves for almost 20 years. The companys production line...
-
Beryllium oxide (BeO) may form a crystal structure that consists of an HCP arrangement of O2-ions. If the ionic radius of Be2+ is 0.035 nm, then (a) Which type of interstitial site will the Be2+ ions...
-
The probability that a person will be able to swim 20 miles is 40%. Classify the statement as an example of classical probability, empirical probability, or subjective probability. Explain your...
-
Branson paid $465,000 cash for all of the outstanding common stock of Wolfpack, Inc., on January 1, 2011. On that date, the subsidiary had a book value of $340,000 ( common stock of $200,000 and...
-
4. (4) Suppose r is the position function of a particle moving through space parameterized in terms of arc lengths and r'(s) = v(s) = . Find the curvature of the particle's path after the particle...
-
Prove Property 2 of Theorem 9.17. Data from in Theorem 9.17 THEOREM 9.17 Ratio Test Let an be a series with nonzero terms. 1. The series a, converges absolutely when lim n1x 2. The series a,...
-
In Exercises verify that the Ratio Test is inconclusive for the p-series. n=1 1 n3/2
-
A list of financial statement items for Morales Company includes the following: accounts receivable $14,000; prepaid insurance $2,600; cash $10,400; supplies $3,800; and debt investments (short-term)...
-
How do customers determine how much they are willing to pay for a good or service? based on the value of distinctive competencies based on the degree of process innovation based on the value they get...
-
Theory Based Questions on Retail Management 1. Explain the concept of visual merchandising and its importance in retail management. Provide examples of effective visual merchandising strategies used...
-
Which leadership theory best describes Ursula Burn's approach to leading people?
-
Explain the philosophy of individual worth. What do cultures develop? What are some of your personal values? Have you ever been stereotyped? What have people assumed about you? What have you assumed...
-
One key feature of Sage 50 Accounting software, it implements user access controls to restrict access to sensitive financial data. Maintain the security of financial information with password...
-
Which of these threats is the most dangerous for a business? Which is the most dangerous for an individual? Support your answers.
-
A firm offers two products for sale. The marginal cost of one product is new zero once the first unit has been produced. The marginal cost of the other product rises as output rises. What would be...
-
Find the exact value of: tan 60 + tan 150
-
Find the exact value of: sin 40 + sin 130 + sin 220 + sin 310
-
Find the exact value of: tan 40 + tan 140
-
The graph shows the average cost for a dozen eggs over a 10-year period. Use the graph to answer the question. cost 2 (0, 1.5) - 0 2 6 8 DO What is the approximate consistent rate of change for a...
-
Lana just retired from her company after 15 years of service. Determine what her approximate monthly pension plan payment will be if her average annual pay was $98,160.00 and the company offers 1.2%...
-
What role does hegemony play in shaping cultural norms and values, and how does it influence power dynamics within social structures ?
Study smarter with the SolutionInn App