In calculus, it can be shown that the arctangent function can be approximated by the polynomial arctan x approx x-x^{3}/3+x^{5}/5-x^{7}/7 where x is i

coexpennan 2021-02-25 Answered
In calculus, it can be shown that the arctangent function can be approximated by the polynomial
arctanxxx33+x55x77
where x is in radians. Use a graphing utility to graph the arctangent function and its polynomial approximation in the same viewing window. How do the graphs compare?
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saiyansruleA
Answered 2021-02-26 Author has 110 answers

Step 1
The red graph is arctanx and the blue graph is the approximation. They are similar close to the origin.
image

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