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Lagrange Error Bound for Taylor Polynomial

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The 4th-degree Taylor polynomial for exe^x centered at x=0x=0 is used to approximate e0.5e^{0.5}. Given the approximation e0.51.6487e^{0.5} \approx 1.6487, what is the Lagrange error bound for this polynomial approximation?

A

≤ 0.0044

B

≤ 0.00043

C

≤ 0.0011

D

≤ 0.0065

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