1 a) Starting with the fact that x". ', express the function (45 + x) In(45 + x) as a power series centered at 0. 1- x n=0 b) Using your answer from part a) above, express the function (45 – 11x²) In(45 – 11x²) as a power series centered at 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 49E
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Pls Help on this question ASAP. Pls do both parts.

a) Starting with the fact that
1
=> x", express the function (45 + x) ln(45 + x) as a power series centered at 0.
1- x
n=0
b) Using your answer from part a) above, express the function (45 – 11x²) ln(45 – 11x²) as a power series centered at 0.
Transcribed Image Text:a) Starting with the fact that 1 => x", express the function (45 + x) ln(45 + x) as a power series centered at 0. 1- x n=0 b) Using your answer from part a) above, express the function (45 – 11x²) ln(45 – 11x²) as a power series centered at 0.
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