For xn given by the following formulas, establish either the convergence or the divergence of the sequence
Question:
(a) xn := n/n + 1;
(b) xn := (-1)nn/n + 1;
(c) xn := n2/n + 1;
(d) xn := 2n2 + 3/n2 + 1.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 88% (9 reviews)
a limx n 1 b Diverg...View the full answer
Answered By
Nazrin Ziad
I am a post graduate in Zoology with specialization in Entomology.I also have a Bachelor degree in Education.I posess more than 10 years of teaching as well as tutoring experience.I have done a project on histopathological analysis on alcohol treated liver of Albino Mice.
I can deal with every field under Biology from basic to advanced level.I can also guide you for your project works related to biological subjects other than tutoring.You can also seek my help for cracking competitive exams with biology as one of the subjects.
3.30+
2+ Reviews
10+ Question Solved
Related Book For
Introduction to Real Analysis
ISBN: 978-0471433316
4th edition
Authors: Robert G. Bartle, Donald R. Sherbert
Question Posted:
Students also viewed these Calculus questions
-
Several very skinny 2.0 m long snakes are collected in the Amazon. Each has density of p(x) given by the following formulas, where p is measured in g/cm and x is measured in centimeters from the tip...
-
Several very skinny 2.0 m long snakes are collected in the Amazon. Each has density of p(x) given by the following formulas, where p is measured in g/cm and x is measured in centimeters from the tip...
-
Another useful distribution that is based on the normal is the lognormal distribution. Among other applications, this distribution is used by environmental engineers to represent the distribution of...
-
It was reported that 23% of U.S. adult cellphone owners called a friend for advice about a purchase while in a store. If a sample of 15 U.S adult cellphone owners is selected, what is the probability...
-
Solve the following linear programming model graphically: minimize Z = 5x1 + x2 subject to 3x1 + 4x2 = 24 x1 6 x1 + 3x2 12 x1, x2 0
-
For constant acceleration, describe the relationship among displacement, initial and final velocities, and acceleration when the time variable is algebraically eliminated.
-
Rudiger is sitting at his desk in his seventh-floor corner office in the city, gazing out over London and reflecting on life. At 43, he is at the top of his game. He has everything he could wish fora...
-
In 2011, Alliant Corporation acquired Centerpoint Inc. for $300 million, of which $50 million was allocated to goodwill . At the end of 2013, management has provided the following information for a...
-
Legacy issues $ 6 1 0 , 0 0 0 of 6 . 5 % , four - year bonds dated January 1 , 2 0 2 1 , that pay interest semiannually on June 3 0 and December 3 1 . They are issued at $ 5 4 0 , 9 8 1 when the...
-
Two of the five mechanical engineers employed by the county sanitation department have experience in the design of steam turbine power plants. You have been instructed to choose randomly two of the...
-
Let xn := 1/ln(n + 1) for n N. (a) Use the definition of limit to show that lim(xn) = 0. (b) Find a specific value of K() as required in the definition of limit for each of (i) = 1/2, and (ii) =...
-
If a > 0; b > 0; show that lim (n + a)(n + b) - n) = (a + b)/2.
-
You are beginning to feel very uncomfortable in your new position as a computer hard-ware salesperson for a firm that is the major competitor of your previous employer. Today, for the second time,...
-
An important element of professionalism and audience-centered communication is etiquette. Poor etiquette can hinder teamwork, disrupt collaboration, and reduce productivity. As mobile devices become...
-
1) We viewed most of the documentary "The Corporation" during our course. What were 3 of the most important things you learned or made aware of from the documentary? 2) Influential economists like...
-
Identify someone who you consider as an excellent leader.What type of leadership style(s)does he/she exhibit? What conflict management toolcana leader use to diffuse conflict(s) in an organization?...
-
How would you/how does your organization assess a contract to ensure that you can meet the requirements of a contract? How do you evaluate a contract prior to bidding on it? By leveraging external...
-
Based on the Harvard Business Review "Blockbuster Inc. & Technological Substitution (A): Achieving Dominance in the Video Rental Industry" case, (1) How does a revenue sharing contract work? Under...
-
As a group, visit several social networking sites. How are members at various sites expressing themselves? What kinds of information are they providing? What does that tell the reader about them? Are...
-
You are thinking of investing in one of two companies. In one annual report, the auditors opinion states that the financial statements were prepared in accordance with generally accepted accounting...
-
Use mathematical induction to show that when n = 2, 3, . . . , Z22 +12 2 , , .in-Z12 4m.
-
Show that the equation |z z0| = R of a circle, centered at z0 with radius R, can be written |z|2 2Re(z0) + |z0|2 = R2.
-
Using expressions (6), Sec. 5, for Re z and Imz, show that the hyperbola x2 y2 = 1 can be written z2 + 2 = 2.
-
Record the following transactions for Tri - State Corporation on the dates indicated. 1 . On March 3 1 , 2 0 2 0 , Tri - State Corporation discovered that Depreciation Expense on equipment for the...
-
William has decided to increase his sales price to $ 2 6 to offset the supplier's price increase. He believes that the increase will result in a 5 % reduction from last year's sales volume. What is...
-
The same scenarios exist as before, with labor costing either $ 1 3 / lawn or $ 2 5 / lawn . Assume that your mowing business will mow 3 5 0 lawns per month rather than 2 0 0 lawns per month. Also...
Study smarter with the SolutionInn App