If p > 0, q > 0, show that the series converges for q > p +

Question:

If p > 0, q > 0, show that the series

converges for q > p + 1 and diverges for q

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

See More Books

Question Posted: Apr 07, 2016 11:09 AM

See More Questions

The moving average model of order q has the form where et is a serially uncorrelated random variable with mean 0 and variance 2e. a. Show that E(Yt) = 0. b. Show that the variance of Yt is c. Show...
(a) If f(z) is not a constant and is analytic for all (finite) z, and R and M are any positive real numbers (no matter how large), show that there exist values of z for which |z| > R and |f(z)| > M....
If for some en > 0 with e n < ¥, it holds that P(| X n+1 X n | ³ e n ) < ¥, then show that X n to a r.v. It suffices to show that { X n } converges mutually a.s. To this end, set A n =...
At t = 0, a particle is traveling parallel to very large insulating plate at a 0.360 m distance with a speed of 980 m/s. Consider that the insulating plate has uniform surface charge density 2.34. x...
Mead Corporation, an Ohio corporation in the business of producing and selling paper, packaging, and school and office supplies, also owned Lexis/Nexis, the electronic research service. Either as a...
The value of a tract of timber is V(t) = 100,000e 0.8t where t is the time in years, with t = 0 corresponding to 2010. If money earns interest continuously at 10%, then the present value of the...
What are four types of items from which derivatives can derive their value?
The following amounts summarize the financial position of Rodriguez Computing, Inc., on September 30, 2016: During October 2016, Rodriguez Computing completed these transactions: a. The business...
1 pts In 2014, California amended the relevant statute to allow that a limited liability company to have an existence of unlimited duration, making it similar to a corporation
Morrison Music Company had the following transactions in March: a. Sold instruments to customers for $12,000; received $7,000 in cash and the rest on account. The cost of the instruments was $8,000....
Let {n1, n2, . . .} denote the collection of natural numbers that do not use the digit 6 in their decimal expansion. Show that 1/nk converges to a number less than 80. If {m1, m2, . . .} is the...
Suppose that none of the numbers a, b, c is a negative integer or zero. Prove that the hypergeometric series is absolutely convergent for c > a + b and divergent for c ab a(a +1 )b(b +1, Ilc21e(c1)...
What specific task is performed by the physical layer?
Salmone Company reported the following purchases and sales of its only product. Salmone uses a perpetual inventory system. Determine the cost assigned to the ending inventory using FIFO. 1 Date...
A company may go through organizational change at various stages in its life cycle for a variety of reasons. Reasons can include a change in ownership as well as a change in the competitive...
6 (a) Below is a diagram of a rotating disc viscometer (FIGURE 4). Explain its operations and limitations as to use. If, in a similar works situation, it is necessary to make measurements on a...
As part of your role in the Business Analytics and Data Analytics team, you have been asked to forecast Food Retailing as part of a wider report being commissioned by the above collaboration - on...
You are three students who have together bought a business that makes snow. The customers consist of both large public enterprises and private individuals. The business is run all year round, but the...
What is the usefulness of temporary destinations?
What impact has the Internet had on the globalization of small firms? How do you think small companies will use the Internet for business in the future?
1. Which is better, a 30% discount followed by an additional 25% off or a 20% discount followed by an additional 40% off? To see, suppose an item costs $100 and calculate each discounted price....
1. $265,000 is borrowed to buy a house. If the simple interest rate on the 30-year loan is 8.25%, find the interest paid on the loan and the total amount paid back. 2. The Real Service Company takes...
1. $2060 is compounded annually at a rate of 15% for 10 years. 2. $1450 is compounded quarterly at a rate of 10% for 15 years. 3. $3500 is compounded daily at a rate of 8% for 10 years. Find the...
Suppose the S&P 500 currently has a level of 960. One contract of S&P 500 index futures has a size of $250 S&P 500 index. You wish to hedge an $800,000-portfolio that has a beta of 1.2. (A)In order...
Exhibit 4.1 The balance sheet and income statement shown below are for Koski Inc. Note that the firm has no amortization charges, it does not lease any assets, none of its debt must be retired during...
Haley is 57 years of age. She is planning for future long-term care needs. She knows that yearly nursing home costs in her area are currently $69,000, with prices increased by 5 percent annually....

If p > 0, q > 0, show that the series converges for q > p +

Question:

(p1)p2)(p +n)

Step by Step Answer:

The terms are positive and limn1 x n1 x ...View the full answer

Introduction to Real Analysis

Students also viewed these Calculus questions