Let {an} be a real sequence. Show that if sigman(n=1,infinity) nan converges, then so does the...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Let {an} be a real sequence. Show that if sigman(n=1,infinity) nan converges, then so does the series sigma(n=1,infinity) an. Let {an} be a real sequence. Show that if sigman(n=1,infinity) nan converges, then so does the series sigma(n=1,infinity) an.
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
Let {bk} be a real sequence and b R. a) Suppose that there are M, N N such that |b - bk| N. Prove that for all n > N. b) Prove that if bk b as k , then as n . c) Show that the converse of b) is...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
A self-organizing list is a linked list of n elements, in which each element has a unique key. When we search for an element in the list, we are given a key, and we want to find an element with that...
-
What is the "ALDI Way" and what was its quest? Take out costs; eliminate complexity Survival; make enough money to pay overhead costs Increase market share; find more prospective customers Build...
-
Explain how a musical instrument such as a piano may be adjusted by using the phenomenon of beats.
-
Consider an organ pipe that is closed at one end and open at the other. This pipe has resonant frequencies of 1200 Hz and 1500 Hz (among others). Find two possible values for the length of the pipe.
-
The Balakrishnan Corporation began business on January 1, 2005, to produce and sell a single product. Reported operating income figures under both absorption and variable costing for the first four...
-
Consider a composite wall that includes an 8-mm-thick hardwood siding. 40-mm by 130-mm hardwood studs on 0.65-m centers with glass fiber insulation (paper faced, 28 kg/m 3 ) and a 12-mm layer of...
-
4 Net Sales 1 In Millions 2 3 Income Statement: Revenues 2021 5 Total Revenues Publix Super Market Projected Financial Statements 2021 Without Strategy 2021 With Strategy 2022 Without Strategy 2022...
-
Legislative Act: Section 41-1-6-9 of the state statutes defines defamation as the intentional publication of a false statement about a person. The statute defines publication as communication to a...
-
Q2. A) Explain the pareto efficiency and in which conditions markets are not Pareto efficient referred to as market failures, which provide a rationale for government intervention. B) For each...
-
Mr. X has been seen his business growing and increasing. It is a good business because online sales are available to reach all segment customers. The company is categorized as Small Medium...
-
A firm is considering leasing some equipment for 10 years with equal annual lease payments. The equipment would cost $120,000 to purchase and would be depreciated straight-line over 10 years to a...
-
Yellow Corp. is evaluating an extra dividend versus a share repurchase. In either case, $4,500 would be spent. Current earnings are $0.96 per share and the stock currently sells for $43 per share....
-
At the beginning of the year, Mahogany. Incorporated bought machinery, shelving, and a forklift. The machinery initially cost $33,600 but had to be overhauled (at a cost of $2,800) before it could be...
-
AMAT113: Calculus II - Worksheet 5 1. For each of the following sequences state whether it is convergent or divergent. In the former case you must give the limit and, in the latter, give a brief...
-
Ch 15 HW i 3 ! Part 3 of 5 5 points Saved Required information [The following information applies to the questions displayed below.] Mason (single) is a 50 percent shareholder in Angels Corporation...
-
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...
-
Let ; = x2y + z. Use differentials to approximate Aw as (x, y, z) moves from (1, 2, 1) to (1.01, 1.98, 1.03). Compare your approximation with the actual value of .
-
For each of the following, use Lagrange multipliers to find all extrema of f subject to the given constraints a) f(x, y) = x + y2 and x2 + y2 = 4 b) f(x, y) = x2 - 4xy + 4y2 and x2 + y2 = 1 c) f(x,...
-
Suppose that V is open in Rn and that f: V R is continuous. Prove that if for all nonempty Jordan regions E V, then f = 0 on V. L sav f dV = 0
-
You receive an offer for a new credit card offering an introductory APR of 8.5 percent per year. What is the corresponding EAR? a. 8.24% b. 8.50% c. 8.84% d. 8.97%
-
Campagna Company expects to have a cash balance of \($46,000\) on January 1, 2002. Relevant monthly budget data for the first 2 months of 2002 are as follows. Collections from customers: January...
-
You have just bought a new condo for $125,000. If you financed 100 percent of the purchase price via a 30-year, 7.75 percent APR loan from your bank, what will be the total amount of interest paid...
Study smarter with the SolutionInn App