APFIVE Ratio Of Actual Error To Lagrange Error Bound
The 5th-degree Taylor polynomial for $$\ln(1+x)$$ centered at $$x = 0$$ is used to approximate $$\ln(1.2)$$. If the actual error is $$0.001$$, what is the ratio of the actual error to the maximum error predicted by the Lagrange error bound, given that $$|f^{(6)}(x)| \leq 120$$ for $$x \in [0, 0.2]$$?
A
93.75
B
13.3
C
0.375
D
1.2
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