Show that lim x2e-nx) = 0 and that lim (n2x2e-nx) = 0 for x R; x

Question:

Show that lim x2e-nx) = 0 and that lim (n2x2e-nx) = 0 for x ∈ R; x > 0.

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 11:07 AM

See More Questions

If a > 0, show that lim a (sin nx)/(nx)dx = 0. What happens if a = 0?
Show that lim(Arctan nx) = (/2)sgn x for x R.
Show that lim(2n/n!) = 0. [If n > 3, then 0 < 2n/n! < 2(2/3)n-2.]
Multi-Star, Inc., had sales of $890,000, cost of sales and operating expenses of $450,000 and $200,000, respectively, and 10,000 shares of common stock outstanding. Calculate the amount of earnings...
Podcast Services Company is incorporated in Illinois. It has 200 employees that work in an office building leased by Podcast in Alton, Illinois. Most of Podcast's employees reside in Illinois, but a...
A counter flow heat exchanger uses 6500 kg/hr of water (c p 4.18 kJ/kg C) entering at 25 C to cool 13,000 kg/hr of oil (c p = 2.09 kJ/kg C) entering at 100 C. If the heat-transfer rate between the...
Molson Appliance Co., prepares crowns, dentures, and other dental appliances. All work is performed on account, with regular monthly billing to participating dentists. Eve Nations, accountant for...
Sparrow Company uses the retail inventory method to estimate ending inventory and cost of goods sold. Data for the 2006 are as follows: The company records sales net of employee discounts. Discounts...
Lunar Artistry Company needs to purchase new etching and finishing equipment. The owners hope to finance the costly equipment with cash on hand and a short term loan from Erie Bank. The CFO of Lunar...
Temperature rise in an electrical wire. (a) A copper wire, 5 mm in diameter and 15 ft long, has a voltage drop of 0.6 volts. Find the maximum temperature in the wire if the ambient air temperature is...
Evaluate lim(xn/(1 + xn)) for x R, x > 0.
Show that the sequence (xn/(1 + xn)) does not converge uniformly on [0, 2] by showing that the limit function is not continuous on [0, 2].
Suppose you have $1,425 and plan to purchase a 5-year certificate of deposit (CD) that pays 3.5% interest, compounded annually. How much will you have when the CD matures? a. $1,810.92 b. $1,692.45...
Over the past 40 years, union membership has declined, and it continues to do so. Instead, many companies are turning to alternative dispute resolution. We know one of the best union avoidance...
Article "A Leader's Journey" by Pamela Kruger Photographs by Nigel Dickson. For this discussion, let's try and unpack the key factors that led to his transformation. 1. What are your key takeaways...
Describe the collaborative roles of the team leader and the team coach in helping a group of people come together to form a team. Recommend strategies for Alex as team leader to use in helping to...
a. Complete the table with all marginal totals and cell counts. b. Calculate the following probabilities. i. For a male to be a Republican. ii. For a voter to be female. iii. For a voter to be either...
1. Will the Coronavirus Pandemic Make Working from Home the New Normal?" Address the following below. Define the problem described in this case. What are the management, organization, and technology...
Which of the following requires timing dependencies between the sender(s) and receiver(s)? (a) P2P Messaging (b)pub/sub Messaging (c)Botha)and b) (d) None of the above
Ball bearings are widely used in industrial applications. You work for an industrial food machinery manufacturer and your role is to design the driveshaft assembly on a new type of equipment that...
Find the ratio described in each exercise as a fraction in simplest form. 1. Use the table to find the ratio of the land area of Tuvalu to the land area of San Marino. Countries with Small Land Areas...
Write each ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form. 1. 25 to 150 2. 8.1 to 10 3. 9.61 to 7.62 4. 35 meters to 100 meters 5. $46 to $102
Find the ratio of the width to the perimeter shown of the swimming pool. 30 feet (width) 45 feet (length)
QUESTION 3 A business owns seven flats rented out to staff at R500 per month. All flats were tenanted Ist january 21 months rent was in arrears and as at 31st December 14 months' rent wa Identify the...
1. 2. 3. Select the Tables sheet, select cells A6:B10, and create range names using the Create from Selection button [Formulas tab, Defined Names group]. Select cells B1:F2 and click the Name box....
Tropical Rainwear issues 3,000 shares of its $18 par value preferred stock for cash at $20 per share. Record the issuance of the preferred shares. (If no entry is required for a particular...

Show that lim x2e-nx) = 0 and that lim (n2x2e-nx) = 0 for x R; x

Question:

Step by Step Answer:

For both functions f n 0 0 for all ...View the full answer

Introduction to Real Analysis

Students also viewed these Calculus questions