Part 1 Use differentiation and/or integration to express the following function as a power series (centered at z = 0). f(z) = g(z) = Part 2 Use your answer above (and more differentiation/integration) to now express the following function as a power series (centered at z = 0). Part 3 Use your answers above to now express the function as a power series (centered at z = 0). f(z)= h(z)= g(z) = 1 (7+z)² h(z)== (7+z)³ z² (7+2)³

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.4: Logarithmic Functions
Problem 55E
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z6

Part 1
Use differentiation and/or integration to express the following function as a power series (centered at z = 0).
f(x) =
g(z) =
Part 2
Use your answer above (and more differentiation/integration) to now express the following function as a power series (centered at z = 0).
Part 3
Use your answers above to now express the function as a power series (centered at z = 0).
h(x) =
¡M8
f(z) =
1.
g(x) =
1
(7+2)²
h(t) =
1
(7+2)³
I²
(7+2)³
Transcribed Image Text:Part 1 Use differentiation and/or integration to express the following function as a power series (centered at z = 0). f(x) = g(z) = Part 2 Use your answer above (and more differentiation/integration) to now express the following function as a power series (centered at z = 0). Part 3 Use your answers above to now express the function as a power series (centered at z = 0). h(x) = ¡M8 f(z) = 1. g(x) = 1 (7+2)² h(t) = 1 (7+2)³ I² (7+2)³
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