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17. Which of the following gives a Taylor polynomial approxima- tion about x = 0 for sin 0.4, correct to four decimal places? (A) 0.4

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17. Which of the following gives a Taylor polynomial approxima- tion about x = 0 for sin 0.4, correct to four decimal places? (A) 0.4 + (0.4)3 (0.4)5 + 3! 5! (B) 0.4 - (0.4) (0.4) + 3! 5! 3 (C) 0.4 - (0.4) (0.4)5 + 3 5 (D) 0.4 + (0.4)2 (0.4)3 + (0.4) 4 + 3! + (0.4) 2! 4! 5! (E) 0.4- (0.4) 2 (0.4)3 + (0.4) 4 + (0.4) 5 2! 3! 4! 5

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