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You are not logged in. #1 20130713 22:52:19
limits of a sumHello everybody i have a couple of problems #2 20130713 23:35:13
Re: limits of a sumHi;
I am not following you. Please explain what k* means a little more. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #3 20130713 23:53:53
Re: limits of a sumit just means that there are 7 problems and that they are all exacly the same exept for the k* part Last edited by rete (20130713 23:55:01) #4 20130714 01:34:32
Re: limits of a suma) log(2) In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #6 20130714 01:37:49
Re: limits of a sumJust playing with the Euler Mclaurin summation formula and series acceleration techniques. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #7 20130714 02:15:43
Re: limits of a sumthey are problems for the summer vacation, for us the nerds, omg, me a nerd, now i have done it, anyways it is just 3 pieces of paper with problems on them, but since i have no idea on how to solve these specific problems, and neither do my colleagues kno were to start at least, I had the idea to ask, found easy ways to solve some of the problems in this sheets, but for these ones, not as much as a hint, (relooking Euler Mclaurin summation atm,) stil not convinced that this is the way, but since you got some results, might just be worth checking, also finding and just typing results on the paper is of no use, if we get this on a test next year, who will explain this again, we need to understand what we are doing if we are to help others so we get passing grades, and you got 0 and 1 sses, all we got were quote"say infinity, n tends to infinity so infinity", sorry for long post and boring math trolling, but seriously what or how did you get those answers, Last edited by rete (20130714 02:20:19) #8 20130714 02:31:33
Re: limits of a sum
The Euler Mclaurin requires a CAS as the differentiations and Integration are tedious. Series acceleration methods require a computer. They are numerical techniques. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #9 20130714 02:45:13
Re: limits of a sumfinished 11 grade, but my teacher never bothers to tech in order, we have done some integrals so we can do some problems for the BAC (our final exams in 12th grade) indefinite, definite, ... , matrices , as long as you do NOT use a calculator any method of pen and paper is good method of pen and paper, Last edited by rete (20130714 02:51:24) #10 20130714 02:52:46
Re: limits of a sumSo you have not had the summation calculus ( indefinite or definite sums ). In analysis they may ask whether a series converges or not but only in numerical analysis does anyone ask what it sums to. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #11 20130714 03:38:27
Re: limits of a summy apologies for bad English, basically you are asking me if i kno how much is lim when x tends to infinity of 3x^3/(x^3+etc), just some simple math 3/1=3(no problem we got this Last edited by rete (20130714 03:39:57) #12 20130714 03:42:02
Re: limits of a sumGetting the limit of a function is not the same as getting the limit of a series like that. You will have to do a definite summation first. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #13 20130714 04:00:40
Re: limits of a sumok, read the pdf and you are right good sir, half of it is gibberish, getting real numbers and stuff, and not even pretty ones, how come? #14 20130714 04:09:10
Re: limits of a sum
Things never change, do they? Looks easy doesn't it? Ask some teacher you hate for the answer. Bet you a dollar he will be in here asking me when he fails. The reason is that most integrals, sum, recurrences, differential equations do not have closed form solutions. But all of them have those ugly solutions. I ain't saying that there isn't some weird trick that will do your problems, olympiad problem are like that. Kids, come away saying wow, math sure is powerful. Truth is the problems are created to be solved by standard math methods. Those methods work on only a fraction of the possible problems there are. Those ugly, gibberish methods do about 1000 times as many problems as the ones mathematicians love and keep under their pillow. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #15 20130714 04:44:39
Re: limits of a sumyou are absolutely right, Last edited by rete (20130714 04:50:49) #16 20130714 04:55:45
Re: limits of a sumI would suggest you let that integral go. That one has been constructed to beat all the known methods including the numerical ones. It requires many tricks to get the job done. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #17 20130716 17:21:31
Re: limits of a sumok, after some digging i have found a somewhat close problem, but i still do not understand how did they come up with the answer: #18 20130716 17:33:18
Re: limits of a sumHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #20 20130716 20:41:09
Re: limits of a sumHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #21 20130716 22:23:10
Re: limits of a sum
Of course, when telescoping you have to be careful. I remember a summation from gAr's thread that couldn't just be plainly telescoped. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #22 20130716 22:31:58
Re: limits of a sumHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. 