Use the definition of the limit of a sequence to establish the following limits. (a) lim(n/n2 +
Question:
(a) lim(n/n2 + 1) = 0;
(b) lim(2n/n + 1) = 2;
(c) lim(3n + 1/2n + 5) = 3/2;
(d) lim(n2  1/2n2 + 3) = ½.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 69% (13 reviews)
a We have 0 nn 2 1 nn 2 1n Given 0 let K 1 b We ...View the full answer
Answered By
Ashington Waweru
I am a lecturer, research writer and also a qualified financial analyst and accountant. I am qualified and articulate in many disciplines including English, Accounting, Finance, Quantitative spreadsheet analysis, Economics, and Statistics. I am an expert with sixteen years of experience in online industryrelated work. I have a master's in business administration and a bachelor’s degree in education, accounting, and economics options.
I am a writer and proofreading expert with sixteen years of experience in online writing, proofreading, and text editing. I have vast knowledge and experience in writing techniques and styles such as APA, ASA, MLA, Chicago, Turabian, IEEE, and many others.
I am also an online blogger and research writer with sixteen years of writing and proofreading articles and reports. I have written many scripts and articles for blogs, and I also specialize in search engine
I have sixteen years of experience in Excel data entry, Excel data analysis, Rstudio quantitative analysis, SPSS quantitative analysis, research writing, and proofreading articles and reports. I will deliver the highest quality online and offline Excel, R, SPSS, and other spreadsheet solutions within your operational deadlines. I have also compiled many original Excel quantitative and text spreadsheets which solve client’s problems in my research writing career.
I have extensive enterprise resource planning accounting, financial modeling, financial reporting, and company analysis: customer relationship management, enterprise resource planning, financial accounting projects, and corporate finance.
I am articulate in psychology, engineering, nursing, counseling, project management, accounting, finance, quantitative spreadsheet analysis, statistical and economic analysis, among many other industry fields and academic disciplines. I work to solve problems and provide accurate and credible solutions and research reports in all industries in the global economy.
I have taught and conducted masters and Ph.D. thesis research for specialists in Quantitative finance, Financial Accounting, Actuarial science, Macroeconomics, Microeconomics, Risk Management, Managerial Economics, Engineering Economics, Financial economics, Taxation and many other disciplines including water engineering, psychology, ecommerce, mechanical engineering, leadership and many others.
I have developed many courses on online websites like Teachable and Thinkific. I also developed an accounting reporting automation software project for Utafiti sacco located at ILRI Uthiru Kenya when I was working there in year 2001.
I am a mature, selfmotivated worker who delivers highquality, ontime reports which solve client’s problems accurately.
I have written many academic and professional industry research papers and tutored many clients from college to university undergraduate, master's and Ph.D. students, and corporate professionals. I anticipate your hiring me.
I know I will deliver the highest quality work you will find anywhere to award me your project work. Please note that I am looking for a longterm work relationship with you. I look forward to you delivering the best service to you.
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Introduction to Real Analysis
ISBN: 9780471433316
4th edition
Authors: Robert G. Bartle, Donald R. Sherbert
Question Posted:
Students also viewed these Calculus questions

Use the definition of the limit to prove the first assertion in Theorem 4.2.4(a).

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) =...

Use the definition of limit to show that (a) (b) lim (* +4x) 12, x+ 5 im  2x + 3 4.

A chemical is spilled into a lake of pure water and the concentration of chemicals in this lake is 4 If 20 of the water in the lake is replaced with clean in one month then. What will be the...

Gillians Restaurant has an icecream counter where it sells two main products, ice cream and frozen yogurt, each in a variety of flavors. The restaurant makes one order for ice cream and yogurt each...

In Figure, a constant horizontal force F app, of magnitude 12 N is applied to a uniform solid cylinder by fishing line wrapped around the cylinder. The mass of the cylinder is 10 kg, its radius is...

In order to be able to use industry benchmarks to evaluate a firms performance, it is necessary to determine the industry to which the firm belongs. Eurostat (European Statistical Office) is a...

Mayaguez Corporation provides its officers with bonuses based on net income. For 2010, the bonuses total $350,000 and are paid on February 15, 2011. Prepare Mayaguezs December 31, 2010, adjusting...

10.A positively charged particle of specific charge , accelerated by a potential difference V moves through a uniform transverse magnetic field

Twin Cities Sports (TCS) is a distributor of sports footwear and equipment. TCS distributes many products to retail accounts but classifies products into just two product groupsfootwear and...

List the first five terms of the following inductively defined sequences. (a) x1 := 1; xn+1 := 3xn + 1; (b) y1 := 2; yn+1 := 1/2 (yn + 2/yn); (c) z1 := 1; z2 := 2; zn+2 := (zn+1 + zn)/(zn+1  zn);...

6. Show that (a) lim(1/n + 7) = 0; (b) lim(n/n + 2) = 2; (c) lim(n/n + 1) = 0; (d) lim(1)nn/n2 + 1) = 0: 7. Let xn := 1/ln(n + 1) for n N. (a) Use the definition of limit to show that lim(xn) = 0....

Required 1. How would you change the answer to Problem 2 28 if you were asked for a schedule of cost of goods manufactured and sold instead of a schedule of cost of goods manufactured? Be specific....

Based on the content posted by Burton on Instagram and Facebook what contents are posted by consumers ? What are the key issues found ? What do you suggest the brand do to connect better with its...

Due to a worldwide oversupply, the import price of iron ore (which Italy uses for production) now falls. The Italian economy was initially at longrun equilibrium. What will happen in the short run...

In a "culture of upscale spending," Question 6 options: a) wealthier people do not engage in luxury spending in order to protect their wealth b) people consume media images of luxury but moderate...

Suppose France imports more from Britain than Britain imports from France (because the French really like English bread and cheese!) What type of Balance of Payments imbalance is this?

One of the two major airlines serving a city has decreased the price of its fights. What impact wil his have on demand for car rentals in the city? Willingness to pay for car rentals will increase by...

Explain why governance procedures may vary from country to country.

The vapor pressure of the liquid NH, is measured at different temperatures. The following vapor pressure data are obtained. Temperature, K P, mmHg 217.1 223.4 234.7 588.1 Calculate the enthalpy of...

With the aid of relations (10) and (11) in Sec. 3, derive the identity (2) (2) _ _ Z122 (23 0,24 ). 23/24/2324

Use the identity obtained in Exercise 6 to derive the cancellation law ZIZ31

Locate the numbers z1 + z2 and z1 z2 vectorially when (a) z1 = 2i, z2 = 2/3  I; (b) z1 = (3, 1), z2 = (3,0); (c) z1 = (3, 1) z2 = (1, 4); (d) z1 = x1 + iy1, z2 = x1  iy1.

Find all the complex numbers z such that z += 0. Is the set open or closed? {zC: z*+i=0}

For each of the following matrices A Maxn (R), test A for diagonal izability, and if A is diagonalizable, find an invertible matrix Q and a diagonal matrix D such that Q1AQ = D. (a) (63) 2 1 3 (b)...

A summary of two stocks is shown. 52W high 52W low Name of Stock Symbol High Low Close 37.18 29.39 Zycodec ZYO 11.76 7.89 Unix Co UNX 39.06 32.73 34.95 16.12 12.11 15.78 Last year, a stockholder...
Study smarter with the SolutionInn App