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(a) By deriving the Maclaurin series of ex and In(2 + cos x) up to and including the terms of x3, find the expression of
(a) By deriving the Maclaurin series of ex and In(2 + cos x) up to and including the terms of x3, find the expression of f (x) = In(2 - cos3x) - 3xe-4x. (14 marks) (b) Find the Fourier series of the function f (x). f ( x) = -3x2 +5, - n S xST (11 marks)
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