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(**) Consider the function f(x) = sin(3x) cos(x). Find the third degree Taylor polynomial T3 () of f about the point x = 0. [Hint:

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(**) Consider the function f(x) = sin(3x) cos(x). Find the third degree Taylor polynomial T3 () of f about the point x = 0. [Hint: you could find this manually using differentiation via the product rule, or you could use the expansions of sin (a) and cos(a ) directly.] T3(a) =

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