Purdue MA166 Spring 2022 Exam 3 Question 10

Could you explain how to solve this (the answer is E but I don't know why)?

P Purdue Univers X E Purdue MA 16( X P Purdue Univers X serve_file.php x serve_file.php x sy sum from n=1 X Homework Hel X + X @ https://www.math.purdue.edu/php-scripts/courses/oldexams/serve_file.php?file=16600E3-$2... Yo G G . . . 13 of 15 Q T V V MA 16600 Exam 3 , Page 11 of 13 Spring 2022 10. Find the Maclaurin series representing f (x) = In(x + e). A. 1 + (k - 1)! B. 1+ L Kph ack 1 C. 1+ (-1) k+1 M8 ek+1 D. 1 + (-1)k+i(k - 1)! ek k = 1 E. 1+ (-1)k+1 K = 1 kek ENG 7:27 PM US 7/5/2022 2