## [answered] CALCULUS III &amp;amp; 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 &amp; 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.

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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