Let fx lnx3 x 1 The third Taylor polynomial at a 1 is T3

Let f(x) = ln(x^3 - x + 1). The third Taylor polynomial at a = 1 is T_3(x) = 2(x - 1) + (x - l)^2 -7/3 (x - l)^3. Find the maximum value of |f(0.17) - T_3(1.07)|, using the graph to find an acceptable value of K. (Round your answer to five decimal places.) Graph of f^(4)(x), where f(x)=ln(x^3 - x + 1).

Solution

f (1.07)= 0.144137572717988;

T(1.07)= 0.144099666666667;

|f-T|= 3.790605132142355*10 ^-5;