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Would you like this assignment to be marked? YES NO MA104 Lab Report 10 - Taylor and MacLaurin Series Name: Student Number: Winter 2017 1. [8 marks ] Consider the function f ( x ) = x ln x . (a) Manually determine T 2 ( x ) , the 2 nd degree Taylor polynomial of f at a = 1.
(b) Define T 3 ( x ) and T 5 ( x ) about a = 1 in Maple.
(c) Use Taylor’s Inequality to find the maximum absolute value of the remainder term R 3 ( x ) when 0 . 5 x 1 . 5 and T 3 ( x ) is used to approximate f ( x ). Express your answer to 6 decimal places. Ask your IA to initial below that you completed the Maple for this question.

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