Math 126, Aut 2016 Final Examination 9. (12 points) Let F(ar) be the function fo edt. Let G(x) be the function fo F(Edt. Let H(x) be the function Jo G(t) dt. (a) Find the Taylor series for F(x), based at b = 0. Write your answer using _ notation 12 :0 12:0 R! - ( 212+1 ) (b) Find T3(x), the third Taylor polynomial of the function G(x) based at b = 0. Alx ) = Fle ) Itent - 42 + 2 Giddy - 2 21 12 356 Use Taylor's Inequality to find an upper bound for the error \\ H (x) -T2(x) | on the interval [0, 4), where T2(x) is the second Taylor polynomial of H (x), based at b =