2. Determine the Maclaurin series of the functions f and g defined below. Write your final...

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2. Determine the Maclaurin series of the functions f and g defined below. Write your final answers as a sum of non-zero terms using sigma notation. Hint: Consider using the Maclaurin series of e and to obtain the series of f and g. -x (a) f(z) = (sinh(x)). X 15 (b) g(x) (x 3)(x 5) = Hint: Consider a partial fraction decomposition. 2. Determine the Maclaurin series of the functions f and g defined below. Write your final answers as a sum of non-zero terms using sigma notation. Hint: Consider using the Maclaurin series of e and to obtain the series of f and g. -x (a) f(z) = (sinh(x)). X 15 (b) g(x) (x 3)(x 5) = Hint: Consider a partial fraction decomposition.