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succhi
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lim( 1/1.3+1/3.5+...1/(2n-1)(2n+1))
where x tends to infinty?
where x tends to infinty?
Lim( 1/1.3+1/3.5+ 1/(2n-1)(2n+1))where x tends to infinty?
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Homework Help Overview
The discussion revolves around evaluating the limit of a series involving the terms 1/(2n-1)(2n+1) as n approaches infinity. The subject area includes calculus and series convergence.
Discussion Character
- Exploratory, Mathematical reasoning, Assumption checking
Approaches and Questions Raised
- Participants discuss the use of partial fractions to rewrite the term 1/(2n-1)(2n+1) and explore the implications of this form on the limit. There are attempts to derive the first several terms of the series to analyze its behavior.
Discussion Status
Some participants have pointed out potential errors in the application of partial fractions, specifically regarding sign errors. There is an ongoing exploration of the series' terms and their contributions to the limit, with no clear consensus reached yet.
Contextual Notes
Participants express frustration with the method not yielding the expected results, indicating a need for clarification on the approach being taken. There is an emphasis on ensuring the correct application of mathematical techniques.
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