Question 7: [45 marks] xe For the given function y(x) = - −sin x +³² a) Find the Maclaurin series up to 4 inclusive usin

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Question 7 45 Marks Xe For The Given Function Y X Sin X A Find The Maclaurin Series Up To 4 Inclusive Usin 1 (24.87 KiB) Viewed 32 times

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