X (8.) (a.) Determine the power series for f(x) = (2) = 2-X (1-82) = 들을(를) 2-x そ(金)+1 based on Σαπ 1 1-2 n=0 (b.) Given that 1 1+x4 = n=0 1 Σ(-1)Απ use its first three terms to approximate the integral 1 dx 1+x4 Give your answer to six decimal places. Show your work. ~ So (1-x" +x²) dx = = 11/ + वे actual value (TI) N 9 α.9 11111 0.866973 8

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Please review and solve problem 8 part 'a' and 'b' and explain how the answer was found. Problem will be attached to this request.

 

 

X
(8.)
(a.) Determine the power series for f(x) =
(2)
=
2-X
(1-82)
=
들을(를)
2-x
そ(金)+1
based on Σαπ
1
1-2
n=0
(b.)
Given that
1
1+x4
=
n=0
1
Σ(-1)Απ use its first three terms to approximate the integral
1
dx
1+x4
Give your answer to six decimal places. Show your work.
~ So (1-x" +x²) dx
=
=
11/
+
वे
actual value (TI) N
9
α.9 11111
0.866973
8
Transcribed Image Text:X (8.) (a.) Determine the power series for f(x) = (2) = 2-X (1-82) = 들을(를) 2-x そ(金)+1 based on Σαπ 1 1-2 n=0 (b.) Given that 1 1+x4 = n=0 1 Σ(-1)Απ use its first three terms to approximate the integral 1 dx 1+x4 Give your answer to six decimal places. Show your work. ~ So (1-x" +x²) dx = = 11/ + वे actual value (TI) N 9 α.9 11111 0.866973 8
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