Assume that g(x)=1/x, 0.4≤x≤1.6. Assume that you approximate g(x) by the 2nd degree Taylor polynomial T2(x) which is centred at b=1.  Now, find the smallest possible value for the constant M that is referred to in Taylor's inequality.

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A: Given,f0=f'0=f''0=f'''0=6Taylor series centered at x=0 isP3x=f0+f'01!x+f''02!x2+f'''03!x3

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A: I have attached 2 photo copy with clear explanation, please check it.

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A: see 2nd step

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A: To Determine: nth taylor polynomial for fx=ex at x=0