Expand f(x) = √3+x as a binomial series. 2 / 3 (¹ + $ 1 E 0 + (¹ + 5, (1 1 O O₁+ (-1)1-3. 5 . n=1 3n-1 X n = 0 3²+1 O (1) 851 O₁+3 (-1)1.3.5. 3n-1 X 3+1 3.5 3.5. 6. n! 6 n! 6. n! - (2n-1)x3 3n (2n-1)x³ : (20-1)-2²h) n! (2n-1)x³m

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Question
Expand
f(x) =
√3+x
as a binomial series.
2 / 3 (¹ + $
1
E
0 + (¹ + 5,
(1
1
O
O₁+ (-1)1-3. 5 .
n=1
3n-1
X
n = 0 3²+1
O (1)
851
O₁+3
(-1)1.3.5.
3n-1
X
3+1
3.5
3.5.
6. n!
6 n!
6. n!
-
(2n-1)x3
3n
(2n-1)x³
: (20-1)-2²h)
n!
(2n-1)x³m
Transcribed Image Text:Expand f(x) = √3+x as a binomial series. 2 / 3 (¹ + $ 1 E 0 + (¹ + 5, (1 1 O O₁+ (-1)1-3. 5 . n=1 3n-1 X n = 0 3²+1 O (1) 851 O₁+3 (-1)1.3.5. 3n-1 X 3+1 3.5 3.5. 6. n! 6 n! 6. n! - (2n-1)x3 3n (2n-1)x³ : (20-1)-2²h) n! (2n-1)x³m
Find a power series representation for the function
1
4 + x
0 (x³)
i=0
O.
3n
X
i=0 4"
OS.
i=0
3n
X
OHLA
i=0 4+1
f(x) =
Transcribed Image Text:Find a power series representation for the function 1 4 + x 0 (x³) i=0 O. 3n X i=0 4" OS. i=0 3n X OHLA i=0 4+1 f(x) =
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