Question 7: [45 marks] xe For the given function y(x) = - −sin x +³² a) Find the Maclaurin series up to 4 inclusive usin
Posted: Thu May 05, 2022 6:35 pm
Question 7: [45 marks] xe For the given function y(x) = - −sin x +³² a) Find the Maclaurin series up to 4 inclusive using the Maclaurin series of elementary functions. [23 marks] b) Find the limit of y(x) when x → 0 in the exact form (don't use a calculator). [6 marks] c) Using the Maclaurin series and keeping only the first three terms, calculate the approximate 1/4 value of the integral I = f y(x) dx up to four significant figures. [16 marks] 0