Calculate the Maclaurin polynomial T 3 for (x) tan 1 x Compute T 3 (1 2) and use the Error Bound to find a bound for the error tan 1 1 2 T 3 (1 2) Refer to the graph in Figure 8 to find an acceptable value of K Verify your result by computing tan 1 T 3 (1 2) using a calculator 5 4 3 2 1 1 y 2 x 3...

and Let fx tan x Then 1 fx tan x fx fx f x 1 ...

Calculate the Maclaurin polynomial T 3 for (x) = tan 1 x. Compute T 3 (1/2) and

Question:

Calculate the Maclaurin polynomial T₃for ƒ(x) = tan⁻¹x. Compute T₃(1/2) and use the Error Bound to find a bound for the error Ιtan⁻¹1/2 − T₃ (1/2)Ι.Refer to the graph in Figure 8 to find an acceptable value of K. Verify your result by computing Ιtan⁻¹− T₃(1/2)Ι using a calculator.

5 4 3 2 1 -1 y 2 +x 3