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Suppose you can find the Taylor series for f centered at the point a without evaluating derivatives (for example, from a known series). Then f

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Suppose you can find the Taylor series for f centered at the point a without evaluating derivatives (for example, from a known series). Then f (a) is k! multiplied by the coefficient of (x - a)". Use this idea to evaluate "/3)(0) and fl#)(0) for the following function. Use known series and do not evaluate derivatives. 2x +5 f(x) = 1 1 + x Click the icon to view a table of Taylor series for common functions. (13) (0) = (Simplify your answer.)

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