Sum of Series using Cosine Function | Homework Equations and Solution Attempt

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Homework Help Overview

The discussion revolves around the evaluation of a series using the cosine function, specifically relating to the infinite series representation of cos(π) and its simplification.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the relationship between the cosine function and the series, questioning how to express the sum and what needs to be demonstrated in the solution.

Discussion Status

Some participants have provided guidance on the relationship between the series and the cosine function, while others express uncertainty about the requirements for the solution. Multiple interpretations of the problem are being explored.

Contextual Notes

There is mention of needing to show the infinite series representation and concerns about the simplicity of the final expression. Participants are also uncertain about the specific expectations for the solution presentation.

rcmango
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Homework Statement



heres the equation: http://img255.imageshack.us/img255/1669/untitledfa5.jpg

Homework Equations



i think we use cos(x)

The Attempt at a Solution



i know that cos(x) = cos(pi)

so the limit is -1?

whats the sum, I'm a bit confused.
must be in simplest form
what must i show. help.
 
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I don't think you can express the sum much more simply than -1. The 'limit' you are talking about is the 'sum', right?
 
What you must show is that the infinite series representation of \cos(\pi) is identical to the infinite series given in the exercise.
 
excellent, okay you its simple it is only -1. I just wasn't sure what they wanted to see. thanks
 

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