How Can Power Series Help You Solve Complex Equations?

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Homework Help Overview

The discussion revolves around the use of power series to solve complex equations, specifically focusing on the function ln(5 - x) and its relationship to the series for 1/(5 - x). Participants are exploring the methods of differentiation and integration in this context.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Some participants suggest differentiating the series for 1/(5 - x) to find the power series for ln(5 - x), while others propose integrating instead. There is a questioning of the initial approach and a reflection on the implications of these methods.

Discussion Status

Participants are actively engaging with the problem, with some guidance offered regarding the integration approach. There is an acknowledgment of confusion from the original poster, indicating a need for further clarification and exploration of the topic.

Contextual Notes

The original poster expresses concern about their understanding and performance in an upcoming exam, which may influence the urgency and tone of the discussion.

sai2020
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Well, it looks like you're trying to find the power series of ln(5 - x) by differentiating the series for 1/(5 - x) term by term. But ln(5 - x) is the integral of 1/(5 - x) (give or take a sign).
 
In other words integrate, don't differentiate!
 
Oh. how stupid am i. God help me in my exam.
 

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