Question 1: Consider the function f(x)=e−x2 a) Use the definition to find the 4th degree Maclaurin polynomial for the f

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Question 1 Consider The Function F X E X2 A Use The Definition To Find The 4th Degree Maclaurin Polynomial For The F 1 (48.58 KiB) Viewed 30 times

Consider the function 𝑓(𝑥) = 𝑒 −𝑥 2
a) Use the definition to find the 4th degree Maclaurinpolynomial for the function.
b) Use the answer found in part a) to approximate 𝑓(1), 𝑓(0.5),and 𝑓(0.1).
c) Use the Table of power series for elementary functions tofind the Maclaurin series for the function.
Thank you for your help
Question 1: Consider the function f(x)=e−x2 a) Use the definition to find the 4th  degree Maclaurin polynomial for the function. b) Use the answer found in part a) to approximate f(1),f(0.5), and f(0.1). Discuss and compare the accuracy, with an explanation, about these approximations. c) Use the Table of power series for elementary functions to find the Maclaurin series for the function. d) Apply Theorem 9.15 and write a conclusion, with an explanation, about the answers found in part a), b), and c).