Purdue MA166 Spring 2020 Question 1

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P Purdue Uni x Untitled X Untitled X Purdue MA X Q coursehero X Refer a Frie X *Homework X Course Her X + X @ https://www.math.purdue.edu/php-scripts/courses/oldexams/serve_file.php?file=16600E3-$2... Yo G G . . . 1 of 9 Q T A v Exam3 https://xlitemprod.pearsoncmg.com/api/v1/print/math Instructor: Phil Mummert, Asaduzzaman Student: Mohammad, Purdue Math, Jennifer Date: Hobbs, Stephanie Foster, Sheng Zhang Assignment: Exam3 Course: MA166-102- Analytic Geom. And Calc. Il- Spring 2020 1. Find the power series representation for g centered at 0 by differentiating or integrating the power series for f (perhaps more than once). Give the interval of convergence for the resulting series. g(x) = In (1 - 8x) using f(x) = 1 - 8 x Which of the following is the power series representation for g centered at 0? 1 8xK (8x) O A. 8 L K OB. - K K = 1 k = 1 0O (8x)k " (8 x ) k O c. K OD. - 8 K K = 1 K = 1 The interval of convergence is (Simplify your answer. Type your answer in interval notation.) ENG 7:47 PM 2 US 7/5/2022