Question Details

[answered] CALCULUS III & ANALYSIS Competency 210. Infinit


Alternating Infinite series

A. State the three conditions of the alternating series test.

B. Justify that each condition of the alternating series test is true for the given infinite series, using algebra and/or calculus and justifying all work.

C. Determine the convergence or divergence of the given infinite series according to the results of the alternating series test.


CALCULUS III & ANALYSIS

 

Competency 210.2.4: Infinite Series - The graduate demonstrates understanding of the

 

properties of series and their applications and determines the convergence of series.

 

Task 4: Alternating Series Test

 

Introduction:

 

There are a variety of tests used to determine the convergence of infinite series. In this task, you will

 

perform one of these tests.

 

Given:

 

The infinite series Requirements:

 

Your submission must be your original work. No more than a combined total of 30% of the

 

submission and no more than a 10% match to any one individual source can be directly quoted or

 

closely paraphrased from sources, even if cited correctly. Use the Turnitin Originality Report available

 

in Taskstream as a guide for this measure of originality.

 

You must use the rubric to direct the creation of your submission because it provides detailed criteria

 

that will be used to evaluate your work. Each requirement below may be evaluated by more than one

 

rubric aspect. The rubric aspect titles may contain hyperlinks to relevant portions of the course.

 

A. State the three conditions of the alternating series test.

 

B. Justify that each condition of the alternating series test is true for the given infinite series, using

 

algebra and/or calculus and justifying all work.

 

C. Determine the convergence or divergence of the given infinite series according to the results of

 

the alternating series test.

 

D. Acknowledge sources, using APA-formatted in-text citations and references, for content that is

 

quoted, paraphrased, or summarized.

 


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