Let (x) ln(x 3 x 1) The third Taylor polynomial at a 1 is Find the maximum possible value of (1 1) T 3 (1 1) , using the graph in Figure 9 to find an acceptable value of K Verify your result by computing (1 1) T 3 (1 1) using a calculator 7 T3(x) 2(x 1) (x 1) (x 1)

Question: Let (x) = ln(x 3 x + 1). The third Taylor polynomial at a = 1 is Find the maximum possible value of |(1.1)

Let ƒ(x) = ln(x³ − x + 1). The third Taylor polynomial at a = 1 is 7 T3(x) = 2(x - 1) + (x - 1) - (x - 1)

Find the maximum possible value of |ƒ(1.1) − T₃(1.1)|, using the graph in Figure 9 to find an acceptable value of K. Verify your result by computing |ƒ(1.1) − T₃(1.1)| using a calculator.

41 40 20 +X 0.9 1.0 1.1 1.2

7 T3(x) = 2(x - 1) + (x - 1)-(x-1)

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