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 a=1. Taylor's inequality gives us an estimate for the error that is involved with this approximation.  Now, find the smallest possible value for the constant M that is referred to in Taylor's inequality.  The answer is no -6.

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