2. Let f be the function f(x)= arctan.x. (a) Find the third Maclaurin polynomial for f. (b) Approximate the value of arctan(-0.3) using the polynomial found in part (a).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.4: Logarithmic Functions
Problem 43E
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2. Let fbe the function f(x) = arctan x.
(a) Find the third Maclaurin polynomial for f.
(b) Approximate the value of arctan(–0.3) using the polynomial found in part (a).
Transcribed Image Text:2. Let fbe the function f(x) = arctan x. (a) Find the third Maclaurin polynomial for f. (b) Approximate the value of arctan(–0.3) using the polynomial found in part (a).
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