Qualification > Math

Mathematics HL Paper 3

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sweet777:
Can someone please tell me some series which ALWAYS converge and some series which always DIVERGE (e.g. harmonic series) so that I can use them in limit comparison tests, and all the other comparison tests???? ANY HELP WOULD BE GREEAAATTT!!

elemis:
The Fourier Series ALWAYS converges.

sweet777:
umm.which series is that? all i know is that the harmonic series always diverges, GP series always converges, and the p-series always converges for p>1. umm..can u please tell me how to determine which series to compare the un with in limit comparison test?? i can figure it out for certain series, but i never seem to understand what to do with the more complicated ones!!!!..one more question, how do you go about the lagrange thingy???..THANKS IN ADVANCE!!

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