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The formal definition for the derivative of f(x) at x = a isf'(a) = lim...

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Calculus

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The formal definition for the derivative of f(x) at x = a isf'(a) = lim f(a+h) f(a)/h h?0(1) Find the Taylor polynomial of order 5 about = 2 which approximates f(x) = e?.(ii) Using this approximation, show, from the formal definition of a derivative, that f'(2) = e.

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