APFIVE Lagrange Error Bound for Taylor Polynomial
The 4th-degree Taylor polynomial for $$e^x$$ centered at $$x = 0$$ is used to approximate $$e^{0.5}$$. If the actual value of $$e^{0.5} \approx 1.6487$$, what is the tightest Lagrange error bound for this approximation?
A
≤ 0.0065
B
≤ 0.0011
C
≤ 0.0044
D
≤ 0.00043
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