Turn to page 115 for the series problem. Determine the radius and interval of convergence for the given power series. Link: [https://drive.google.com/file/d/1RQ2OZk-LSxpRyejKEMg1t2q15dbpVLCS/view? usp=sharing] Show all tests and reasoning used in your solution.

please use the Table of Series or the substitution method to help determine a power series and then determine the interval of convergence of the image attached.

Create your own example of a convergent series for which you use the basic comparison test. Make sure to explain how you are comparing your series to a known series. You must explicitly say which series you are testing, and to which series you are comparing.

This multiple choice questions from businesses mathematics course. I need the final answer.

Write a partial sum for the power series which represents this function consisting of the first 5 nonzero terms. For example, if the series were , you would write . Also indicate the radius of convergence.   1/(1-x5)

Use the Alternating Series Test to determine if the following series converges or diverges. Explain your reasoning.

On page 83, a power series is given. Use the ratio test or root test to determine the radius of convergence. Show each calculation clearly, including intermediate steps and final conclusions. Instructions: Stick to the question. Provide step-by-step calculations for the radius of convergence and avoid irrelevant content. Ensure the solution is clear and detailed. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440AZF/view?usp=sharing]