Question: Let (an)n=10 be an eventually constant sequence. Prove that the sequence {an}n=1 converges.

Let (an)n=10 be an eventually constant sequence. Prove that the sequence {an}n=1 

Let (an)n=10 be an eventually constant sequence. Prove that the sequence {an}n=1 converges.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To prove that the sequence aninftyn1 converges we need to show that it i... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

123 Compare the purely graphical properties of these two notations, and the ways in which the graphical properties of each display correspond to the information structure being defined. Describe...

Q:

CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...

Q:

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

Q:

Dawson Company manufactures a chair that has a current market price of $220. Company stockholders expect a 25% return (ROI) and the company's average assets of $650,000. The company expects to sell...

Q:

1 For each of the two sequences, determine if it converges. If it does, provide the limit and prove the convergence. If it doesn't, provide a proof that the sequence diverges. a. xn = n ^2/5 /(n^...

Q:

Lemma: If \\\\phi :N->N is a strictly increasing function, then for\ all ninN we have \\\\phi (n)>=n .\ Proof of lemma: Let \\\\phi :N->N be a strictly increasing function. We\ prove the claim by...

Q:

MAT237Y, University of Toronto, 2017-8 Homework Assignment # 2 Preliminary material The homework assignment is found on the other side of this page. Our goal in this homework is to develop an...

Q:

PLZ ANSWER QUESTION C PLZ ANSWER QUESTION C PLZ ANSWER QUESTION C PLZ ANSWER QUESTION C PLZ ANSWER QUESTION C PLZ ANSWER QUESTION C PLZ ANSWER QUESTION C PLZ ANSWER QUESTION C PLZ ANSWER QUESTION C...

Q:

Let (an)n>1 be the sequence of real numbers defined by a1 = 5, and for n 2 1 an+1 = an - an + 1 Prove that the series an converges and find its sum. n=1 Hint: Please consider the following steps ....

Q:

The Basics of Financial Mathematics Spring 2003 Richard F. Bass Department of Mathematics University of Connecticut c These notes are 2003 by Richard Bass. They may be used for personal use or class...

Q:

Consider a scenario where you have to deal with a massive dataset that doesn't fit into memory, but needs to be sorted. How would you design an algorithm that efficiently sorts this data while...

Q:

The above exhibits present the recent income statement and balance sheet of NBC Corporation. In general, the cash needed for NBC's operations is about 3 percent of revenue. Revenues in 2014 = $967...

Q:

Afunction g is given by g ( x ) = x 2 9 . Find g ( - 6 ) , g ( 0 ) , g ( 1 ) , g ( a h ) , and g ( x h ) - g ( x ) h .

Q:

dy + 2p dy + (p + q?)y = eax + pqx. Solve dx2 dx

Q:

b).Determine the differential equation by eliminating arbitrary constants and also write the order and 60, degree of the differential equation obtained. y = cx ++ (x3 7x2 + 27x 60 +e*

Q:

In Physical Disk Structure what parameters are used to read data from the disk? You are given a file of 2B size save it in a drive of size 500GB mention a number of sectors, blocks, clusters, and...

Q:

Create a list of at least 10 books (Title, Author, Price, Book_id) with the following functions: 1) Sequential insert in the list on the basis of Book_id 2) Sequential delete in the list and then...

Q:

Create a list of Employees (List can be as long as user wants). Program should save the following information for each Employee: Name, Emp. No., Experience, Designation and Salary. Now perform the...

Q:

6 Theory of Machines 5. A shaft carries five masses A, B, C, D and E which revolve at the same radius in planes which are equidistant from one another. The magnitude of the masses in planes A, C and...

Q:

Describe the general service characteristics of motor carriers and explain how these service characteristics have contributed to the growth of the motor industry.

Q:

What is value-of-service pricing? Is this approach to pricing valid today?

Q:

What is the role of insurance in transportation risk management?

Q:

Work in a small group to make a poster with a visual representation of various effects of poverty on cognitive and social development. Collect the posters from the other groups in your class and make...

Q:

What is the role of confounding variables in research? When you think about this question, consider comparing qualitative and quantitative research. For example, when we are conducting an experiment...

Q:

Draw a owchart or any other visual representation of pathways of poverty