Which of the following is the power series representation of 1 (1 – x)² п-1 nx n=1 8. xn+1 n + 1 n=0 2n n=0 None of the above

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Question
Q2
We know that
00
(1) the power series representation of f(x)
1.
1
is
x", and
n=0
00
1
(2)
1
> x" for -1 < x < 1.
- I
n=0
Q2.1
1
Which of the following is the power series representation of -
(1 – æ)2
n=1
n +1
n=0
2n
-x
n=0
O None of the above
IM: IM: IM
Transcribed Image Text:Q2 We know that 00 (1) the power series representation of f(x) 1. 1 is x", and n=0 00 1 (2) 1 > x" for -1 < x < 1. - I n=0 Q2.1 1 Which of the following is the power series representation of - (1 – æ)2 n=1 n +1 n=0 2n -x n=0 O None of the above IM: IM: IM
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