(-1)" n=027 + 1 Using the power series for tan-¹x, tan¯¹x = [-1, 1] a. Find the approximate value of tan-1 (0.1) using 3 terms of the power series expansion. Express your answer in 4 decimal places. b. What is the power series of tan-¹ (x²)? Simplify your answer. 20+1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
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(-1)"
n=027 + 1
Using the power series for tan-¹x, tan¯¹ x =
[-1, 1]
a. Find the approximate value of tan-1 (0.1) using 3 terms of the power series
expansion. Express your answer in 4 decimal places.
b. What is the power series of tan-¹ (x²)? Simplify your answer.
20+1
Transcribed Image Text:(-1)" n=027 + 1 Using the power series for tan-¹x, tan¯¹ x = [-1, 1] a. Find the approximate value of tan-1 (0.1) using 3 terms of the power series expansion. Express your answer in 4 decimal places. b. What is the power series of tan-¹ (x²)? Simplify your answer. 20+1
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