Talk:Comparison test

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"if an <= bn for all n, and suppose that sum (from n= 0 to infinty) bn is convergent. Then sum an is convergent."
(Craw, 2002)

Notice "for all n". Wiki says that "for sufficiently large n".

Also, please explain why comparing the ratios of a series to another known series is betten than comparing the ratio to 1, as in the d'Alembert test. I'm sure there must be a reason, but I can't figure it.

Craw, I., 2002, The Comparison Test, The University of Aberdeen, Available from http://www.maths.abdn.ac.uk/~igc/tch/ma2001/notes/node50.html


212.159.75.167 17:33, 10 December 2006 (UTC)Timbo