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Show all your work and explain every question 11. Find the Taylor polynomials of the nth order generated by the function at a. a) f(x)

Show all your work and explain every question

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11. Find the Taylor polynomials of the nth order generated by the function at a. a) f(x) = 3z, a = 0, n = 3 b) g(x) = 4In (x), a = 1, n = 4 c) h(x) = 1, a = 4, n = 3 d) k(x) = cosm, a = =, n = 2 e) f(x) = Vr, a = 10, n = 4 f) z(x) = sin (7 - x), a = 0, n = 3 12. Approximate the value of the function f(x) = In(x) using the 4th order Taylor polynomial at r = 2.1. How far off is the approximation from the actual value

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