Question: sin x (a) Find the second-order Taylor polynomial P2(x) for the function about x = 0. x Hint: Use the whole Taylor series of sin

sin x (a) Find the second-order Taylor polynomial P2(x) for the

sin x (a) Find the second-order Taylor polynomial P2(x) for the function about x = 0. x Hint: Use the whole Taylor series of sin x. sin x (b) If R2(x) = - P2(x) is the remainder of the second-order Taylor polynomial X sin x P2(x) of show that 0

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