Exercise 5: Let f and g be functions with sixth-order Taylor polynomials (about 0): P6.f(x= 1-+2x2 -53 +x4 - 6, Pe.g(x) = x - x2+x3 -2x4 x6. Compute the following sixth-order Taylor polynomials (a) (f g) (x), about x = 0 (b) (fg)(x), about x = 0 (c) fog(x), about x = 0 Explain why you do not have enough information to compute the sixth-order Taylor polynomial for go f(x) about x = 0.

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