Is $\frac{1}{(n) !}$ A Good Bound for the Maximum Possible Error for the Error

question 36

True/False

Is $\frac{1}{(n) !}$ a good bound for the maximum possible error for the n^th degree Taylor polynomial about x = 0 approximating $\sin \left(\frac{x}{2}\right)$ on the interval [0, 1]?

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