∞ (−1)n arctan(x)=) x²n+1 =x- 2n + 1 Compute / arct n=0 1 3 3 + 1 x5 5 - Write down a power series representation for arctan(x²). 1 x' +... 7 7 arctan(x²) dx. Write the answer as a power series.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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arctan()
=
(−1)n
2n + 1
Compute a
Σ x²n+1
n=0
= X
1
23
+
15
xX5
5
Write down a power series representation for arctan(x²).
7
x' +...
arctan(x²) dx. Write the answer as a power series.
Transcribed Image Text:arctan() = (−1)n 2n + 1 Compute a Σ x²n+1 n=0 = X 1 23 + 15 xX5 5 Write down a power series representation for arctan(x²). 7 x' +... arctan(x²) dx. Write the answer as a power series.
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