Problem 13.11. Calculate the first two Taylor polynomials of 1 1-x2 around x =0, by using the definition, i.e., Calculate In, 1 (x), for n = 1, 2. Problem 13.12. Calculate the first M + 1 Taylor polynomials of f (x) = er around x = a, by using the definition, i.e., Calculate Thex,a (x), for n = 0, 1, 2, ..., M. Problem 13.13. Calculate the 2-nd Taylor polynomials of f(x) = 7x2 + 2x -1 around x = 2, by using the definition, i.e., Calculate In, f(x),1 (x)