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(Solved): Given the function f(x)=cos^(3)x. Expand the function by using the Maclaurin's theorem to the first ...
Given the function
f(x)=cos^(3)x. Expand the function by using the Maclaurin's theorem to the first three terms. (12 marks) Use the expansion in part (a), find the bounded area with
x- axis from 0 to
\pi . (3 marks) c. Repeat the part (b) by using the original function and compare the result in part (b). (7 marks) d. Without expanding the series, is
-(61)/(240)x^(6)the fourth term of the series? Discuss it? (5 marks) e. Evaluate
\lim_(x->0)(1-cos^(3)x)/(x)(2 marks)
