Question: Question 96 ptsSuppose f(x) is a function whose third derivative satisfies |f'''(x)|3 for -12x12. Let T2(x) be the Taylor polynomial with degree 2 and center
Question 96 ptsSuppose f(x) is a function whose third derivative satisfies |f'''(x)|3 for -12x12. Let T2(x) be the Taylor polynomial with degree 2 and center 0. According to Taylor's inequality, what is the largest possible error in the approximationf(x)~~T2(x) for -12x12?Taylor's inequality is given below for reference:If |f(n+1)(x)|M for |x-a|d, then|Rn(x)|M(n+1)!|x-a|n+1 for all x such that |x-a|d383/21481/1612
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