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4. (6 points) Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the

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4. (6 points) Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. f( x =3xe; a=0 [Example: The first term of the Taylor series for f(x) is f(a), the second is f' la) 1 ! (x-a), the third is f (a) 2! (x-a), etc.] (4 points) 1 point for each nonzero term. [Hint: If the term is equal to zero, it's not a nonzero term.]

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