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(Solution Library) Use Taylor’s theorem to obtain an upper bound for error of the approximation. Then calculate the exact value of the error. e ≈ 1+1+(1^2)/(2

Question: Use Taylor’s theorem to obtain an upper bound for error of the approximation. Then calculate the exact value of the error.

\(e \approx 1+1+\frac{1^{2}}{2 !}+\frac{1^{3}}{3 !}+\frac{1^{4}}{4 !}+\frac{1^{5}}{5 !}\)

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