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TSCritical_Fallacy
post Mar 24 2016, 01:20 PM

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From: Torino
QUOTE(chocobo7779 @ Feb 22 2016, 01:35 AM)
Critical_Fallacy How did you get your username?  Recently I decided to read about some logical fallacies and I liked the fallacy argumentum ad populum.
Are you curious? If you want to learn how to identify logical fallacies in the arguments of others, stick this poster on your wall or put it up on your desktop wallpaper. thumbsup.gif

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TSCritical_Fallacy
post Apr 14 2016, 05:22 PM

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From: Torino
QUOTE(delsoo @ Apr 14 2016, 02:32 PM)
when [tex]\rho<1[/tex], can we say that the series converges instead of converge absolutely?
Look up the mathematical definition for absolute convergence. Some series are conditionally convergent if they converge, but they do not converge absolutely.

The proper argument is: if ρ < 1, then the series is absolutely convergent (and hence convergent).

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