In this question you should assume that –1

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter0: A Review Of Basic Algebra
Section0.CR: Chapter Review
Problem 46E
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In this question you should assume that -1 <x< 1.
(a) For the binomial expansion of (1 –x)
(1) find and simplify the first four terms,
(ii) write down the term in x".
(b) Write down the sum to infinity of the series 1 +x+x* +x*+....
(c) Hence or otherwise find and simplify an expression for 2+ 3x+4x +5x+... in the form
a-x
where a and b are constants to be determined.
(b-x)?
Transcribed Image Text:In this question you should assume that -1 <x< 1. (a) For the binomial expansion of (1 –x) (1) find and simplify the first four terms, (ii) write down the term in x". (b) Write down the sum to infinity of the series 1 +x+x* +x*+.... (c) Hence or otherwise find and simplify an expression for 2+ 3x+4x +5x+... in the form a-x where a and b are constants to be determined. (b-x)?
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