Use the definition to find the Taylor series centered at c = 0 for the function f(x)= 9ln(x- Select one: O a. O b. O c. O d. O e. 9ln(x²+1) = (9x)" +1 Σ n = 0 n+1 91n(x² + 1) = (9x)²n+2 1=0 n+1 x x"+1 n+1 91n(x²+1)=9 Σ(-1)". >=0 9ln(x² + 1) = 9 € _x²m +2 >=0 72 8 9ln(x² + 1) = 9 Σ(- 1x -x²m +2 Σ(-1)" n+1 n=0
Use the definition to find the Taylor series centered at c = 0 for the function f(x)= 9ln(x- Select one: O a. O b. O c. O d. O e. 9ln(x²+1) = (9x)" +1 Σ n = 0 n+1 91n(x² + 1) = (9x)²n+2 1=0 n+1 x x"+1 n+1 91n(x²+1)=9 Σ(-1)". >=0 9ln(x² + 1) = 9 € _x²m +2 >=0 72 8 9ln(x² + 1) = 9 Σ(- 1x -x²m +2 Σ(-1)" n+1 n=0
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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Transcribed Image Text:Use the definition to find the Taylor series centered at c = 0 for the function f(x) = 91n(x²+1).
Select one:
O a.
9ln(x²+1) = ☎ (9x)” +1
n=0
n+1
○ b. 91n(x² + 1) = (9x)²n +2
>=0
n+1
x
O e.
O c. 91n(x²+1) = 9 Σ(-1)"-
>=0
X²+1
n+1
O
○ d. 9in(x²+1)=9℃ x²n+²
n
x
9ln(x² + 1) = 9Σ(-1)" -x² +2
n+1
n=0
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