IGCSE/GCSE/O & A Level/IB/University Student Forum

Qualification => Subject Doubts => IB => Math => Topic started by: sweet777 on May 06, 2011, 05:28:16 am

Title: Mathematics HL Paper 3
Post by: sweet777 on May 06, 2011, 05:28:16 am

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!!

Title: Re: Mathematics HL Paper 3
Post by: elemis on May 06, 2011, 05:59:19 am

The Fourier Series ALWAYS converges.

Title: Re: Mathematics HL Paper 3
Post by: sweet777 on May 07, 2011, 02:22:26 pm

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 u_n 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!!