User:EGM6341.s11.TEAM1.Yoon.HW4-1

Applying error bound by taking max and absolute sign on the both side,

We can define bound of each sub-f(x)s by,

Since the summation of each bound is equal or less than n times of M4,

Applying above relation onto our inequality yields,

In conclusion,
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$$\displaystyle \displaystyle \left| {E}_{n}^{S} \right| \leq \frac{(b-a)^{5}}{2880 {\color{blue}{n^{4}}}} M_{4} = \frac{(b-a)h^{\color{red}{4}}}{2880} M_{4} $$
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