Question: suppose for a sequence an, lim an =1/3 could you find an N such that for any k>N the absolute value of ak-1/3 <0.0001, in

suppose for a sequence an, lim an =1/3 could you find an N such that for any k>N the absolute value of ak-1/3<0.0001, in other words k term of the sequence is less than 0.0001 from 1/3. how do you know

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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!

Sections 10.1 and 10.2 Reading Assignment: Sequences and Series Answer Only Exercise 1, 2, and 3 by using a screenshot provided Calculus Pearson textbook. Make sure you read these three questions...

Please help with following questions: The Alternating Series Test. If an alternating series E(-1)"than = a1 - az tag - ay + as ... where an, > 0 for all n satisfies . Ontl on for all n large (i.c.,...

Question: 5. A small company decides to offer a new online shopping feature. The company's president wants to offer a free gift card to customers who make a $200 minimum purchase online. These...

4. Consider the following variant of string alignment: given two strings x, y, and a positive integer L, find all contiguous substrings of length at least L that are aligned (using no-ops...

Question: 5. A small company decides to offer a new online shopping feature. The company's president wants to offer a free gift card to customers who make a $200 minimum purchase online. These...

1. Evaluate the following limits if they exist. 3x2 - 6x + 8 (a lim x-70 2 - 4x + 7 (Do not use L'Hospitals Rule) Answer: 3 (b) lim 2 2 - 8x + 12 2-2 202 - 3x + 2 (Do not use L'Hospitals Rule)...

ttth Suppose that the sequence of bags {Bn | n N} is recursively enumerated by the computable function e(n, x) = fn(x), [7 marks] Hence prove that the set of all recursive bags cannot be recursively...

Question: 5. A small company decides to offer a new online shopping feature. The company's president wants to offer a free gift card to customers who make a $200 minimum purchase online. These...

In this exercise, we construct an example of a sequence of random variables Zn such that but That is, Zn converges in probability to 0, but Zn does not converge to 0 with probability 1. Indeed, Zn...

Based on the following petty cash information, prepare (a) The journal entry to establish a petty cash fund, and (b) The journal entry to replenish the petty cash fund. On January 1, 20--, a check...

P(A) = 0.38, P(B) = 0.26, P(C) = 0.14, P(A and B) = 0.12, P(A and C) = 0.03, P(B and C) = 0.09, P(A and B and C) = 0.01 In the Venn diagram shown below, P(A or B or C) is represented by the blue...

The Trade Unions Act (1872) was significant in the history of the labour movement in Canada because it: Question 9 options: a) required employers to engage in collective bargaining with a union. b)...

Monsoon Inc. is considering bidding on a government project. To do the project, the company must make an initial investment of $9 million to purchase the necessary equipment. The project will last...