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- Calculate the Taylor polynomials T2 and T3 centered at x = a for the given function and value of a.calculate the Taylor polynomials T2 and T3 centered at x = a for the given function and value of a. f (x) = x2e −x , a = 11. determine the second-order Taylor approximation of the polynomial p(x) = x^5 + 6x^4 + x^2 − 1 at the points x = 0 and x = 1.