a) Find the Taylor series for f(x) = 1/(x²) centered at a = 2.

b) let f(x) = 1/x, 0.7 x 1.3. Suppose that we approximate f(x) by the 3rd degree Taylor polynomial T₃(x) centered at a = 1. Taylor's inequaltiy gives an estimate for the error involved in this approximation. Find the smallest possible value of the constant M referred to in Taylor's Inequality.