(1- +2²) 2 1 - - 2x2 + z = 8 Σ z" Ph(x), n=0 \xs1, \z <1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 49E
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To show that P, (x) is the coefficient of " in the expansion of (1-2xz+2
Z
in ascending powers of z,
or,
8
(1-2x² +2²) ³ - [ 2² 1
n=0
Σ z" P₁ (x),
|x|≤ 1, \2\<1
Transcribed Image Text:To show that P, (x) is the coefficient of " in the expansion of (1-2xz+2 Z in ascending powers of z, or, 8 (1-2x² +2²) ³ - [ 2² 1 n=0 Σ z" P₁ (x), |x|≤ 1, \2\<1
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