(a) find the Maclaurin polynomial P_{3}(x) for f(x), (b) complete the following

Dottie Parra 2021-02-02 Answered

(a) find the Maclaurin polynomial P3(x) for f(x), (b) complete the following

x:0.750.500.2500.250.500.75

for f(x) and P3(x) and (c) sketch the graphs of f(x) and P3(x) on the same set of coordinate axes. f(x)=arctanx

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Expert Answer

Adnaan Franks
Answered 2021-02-03 Author has 92 answers

Step 1 a) f(x)=arctanx
P3(x)=k=03f(k)(0)k!xk
P3(x)=x13x3

Step 2 b)

x0.750.500.250.00.250.500.75f(x)0.64350.46360.244900.24490.46360.6435P3(x)0.60930.45830.244700.24470.45830.6093

On the graph below: Red curve = f(x) Blue curve = P3(x) Step 3 image

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