Explain why the error increases as x increases if you want, Mechanical Engineering

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Explain why the error increases as x increases if you want

Expand y = exp(x) into a Taylor series about x = 0. What is the radius of convergence of this series? Suppose that only the first three terms of the series are added. Compare that sum against the exact solution from a calculator evaluation of exp(x) by computing the relative error for x = 0.1, 1, and 2. Explain why the error increases as x increases. If you want a 1% relative error in the evaluation of exp(x), where x = 1, how many terms in the series must be included?

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Mechanical Engineering: Explain why the error increases as x increases if you want

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