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Part 1 Use differentiation and/or integration to express the following function as a power series (centered at x = = 0). f(x) = Σ n=0 g(x) => n=0 Part 2 Use your answer above (and more differentiation/integration) to now express the following function as a power series (centered at x = 0). h(x) = f(x) = 8 n=0 g(x) = Part 3 Use your answers above to now express the function as a power series (centered at x = : 0). 1 (2 + x)² h(x) = 1 (2+x)³ x² (2 + x)³

Part 1 Use differentiation and/or integration to express the following function as a power series (centered at x = = 0). f(x) = Σ n=0 g(x) => n=0 Part 2 Use your answer above (and more differentiation/integration) to now express the following function as a power series (centered at x = 0). h(x) = f(x) = 8 n=0 g(x) = Part 3 Use your answers above to now express the function as a power series (centered at x = : 0). 1 (2 + x)² h(x) = 1 (2+x)³ x² (2 + x)³

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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PLEASE HELP WITH PART 3 ONLY

Part 1 Use differentiation and/or integration to express the following function as a power series (centered at x = 0). ∞ f(x) = Σ n=0 ∞ g(x) = Σ n=0 Part 3 ▶ Part 2 Use your answer above (and more differentiation/integration) to now express the following function as a power series (centered at x = = 0). f(x) = ∞ h(x) = Σ n=0 g(x) = 1 (2 + x)² Use your answers above to now express the function as a power series (centered at x = 0). h(x) = 1 (2+x)³ x² (2 + x)³
Transcribed Image Text:Part 1 Use differentiation and/or integration to express the following function as a power series (centered at x = 0). ∞ f(x) = Σ n=0 ∞ g(x) = Σ n=0 Part 3 ▶ Part 2 Use your answer above (and more differentiation/integration) to now express the following function as a power series (centered at x = = 0). f(x) = ∞ h(x) = Σ n=0 g(x) = 1 (2 + x)² Use your answers above to now express the function as a power series (centered at x = 0). h(x) = 1 (2+x)³ x² (2 + x)³
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