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 financial statements of M&S (GBR) are presented in Appendix A. The companys complete annual report, including the notes to the financial statements, is available online. Instructions Refer to...
What forms of negligence are described in this chapter?
The actual cash received from cash sales was $11,279, and the amount indicated by the cash register total was $11,256. a. What is the amount deposited in the bank for the days sales? b. What is...
Golden Paper Company purchases a 90-day negotiable CD with a $1 million denomination from Vail National Bank, bearing a 3.25% annual yield. How much will Golden Paper receive from Vail when the CD...
Richard chooses technique 0 and 2 requiring 10+10-20 efforts and provising 10+11=21 benefits. Hence, 21 is returned as the output Example 2: input1: 3 input2: (10,10,10,10) input3: (10,11,12,15)...
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)...
Currently, the unit selling price of a product is $750, the unit variable cost is $600, and the total fixed costs are $2,550,000. A proposal is being evaluated to increase the unit selling price to...
On January 1, 2025, Nash Corporation purchased 349 of the $1,000 face value, 9%, 10-year bonds of Walters Inc. The bonds mature on January 1, 2035, and pay interest annually beginning January 1,...
The Irulan Company recently sold 5,000 units at $65 each and had total variable costs of $295,000 and total fixed costs of $17,300. If the company reduced its price by $5 per unit and its variable...
What ethical considerations should be taken into account when advocating for social change, particularly in contexts where conflicting interests and values are at play?
Tessa and Jody, each of mass 68 kg, go out for some exercise together. Tessa runs at 15 km/h; Jody cycles alongside at the same speed. After 20 minutes, how much metabolic energy has each used?
What innovative financial instruments and mechanisms show promise in catalyzing sustainable poverty reduction initiatives?
Why do managers typically change in their first year on the job?
What is the role of business risk analysis in the audit planning process?
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...
How does culture relate to political and security issues in the world? Please provide specific examples. 2 What are the most significant contemporary security issues in the world? How does culture...
Tree Seedlings has the following current-year purchases and sales for its only product. Units Acquired at Cost Date January 1 Activities Beginning inventory January 3 Sales February 14 February 15...
A cylindrical log is cut as shown to form a park bench. Find: a. The area of triangle OAB in m. [2] b. The volume of the log in m. [3] B 70% 40 cm 3m

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