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The Taylor series for f(x) = x³ at 4 is Σ cn(x − 4)". n=0 Find the first few coefficients. CO C1 = C2 || C3 = C4 =

The Taylor series for f(x) = x³ at 4 is Σ cn(x − 4)". n=0 Find the first few coefficients. CO C1 = C2 || C3 = C4 =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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### Taylor Series for \( f(x) = x^3 \) at \( x = 4 \) The Taylor series for the function \( f(x) = x^3 \) around \( x = 4 \) is expressed as: \[ f(x) = \sum_{n=0}^{\infty} c_n (x - 4)^n. \] #### Objective Find the first few coefficients of the Taylor series. #### Coefficients \[ c_0 = \boxed{} \] \[ c_1 = \boxed{} \] \[ c_2 = \boxed{} \] \[ c_3 = \boxed{} \] \[ c_4 = \boxed{} \] Fill in the boxes with the computed values of the coefficients \( c_n \).
Transcribed Image Text:### Taylor Series for \( f(x) = x^3 \) at \( x = 4 \) The Taylor series for the function \( f(x) = x^3 \) around \( x = 4 \) is expressed as: \[ f(x) = \sum_{n=0}^{\infty} c_n (x - 4)^n. \] #### Objective Find the first few coefficients of the Taylor series. #### Coefficients \[ c_0 = \boxed{} \] \[ c_1 = \boxed{} \] \[ c_2 = \boxed{} \] \[ c_3 = \boxed{} \] \[ c_4 = \boxed{} \] Fill in the boxes with the computed values of the coefficients \( c_n \).
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