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1. Find the first five partial sums of the given series and determine whether the series appears to be convergent or divergent. If it is

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Find the first five partial sums of the given series and determine whether the series appears to be convergent or divergent. If it is convergent, find its approximate sum. 2 (n + 2)(n+ 3) n = 1 The first partial sum is S, =] (Type an integer or decimal rounded to four decimal places as needed.)Find the first three nonzero terms of the Maclaurin expansion of the function. f(x) = 9 sin x What is the first nonzero term of the Maclaurin expansion of f(x) = 9 sin x?Evaluate the given integral by using Three terms of the appropriate series. I19 I sin sad): I] I sin 1:34:13: m D I] [Round to four decimal places as needed} Find the first three nonzero terms of the Taylor expansion for the given function and given value of a. sin x a Choose the correct answer below. 12 1/2 2 O A. X - 2 + 2 X - 4 2 A O B. 1/2 12 12 2 X - + X - 2 2 2 V2 1/2 1/2 2 OC. - X - - + X - 2 2 4 4 A 12 2 O D. 2 + X - X - 2 4 4 4

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