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You are not logged in. #3 20090425 20:44:01
Re: find sumI think it's just a +4, +2, ... pattern on the denominator. Why did the vector cross the road? It wanted to be normal. #4 20090425 21:45:57
Re: find sum
You made a little mistake, mate. I think you want to find The Maclaurin series for is Also Hence #5 20090426 03:53:15
Re: find sum
no jane #6 20090426 04:19:38
Re: find sumThen you should have been more clear in the first place. #7 20090429 01:49:30
Re: find sumHi Tony123; This will equal the terms of Tony's series if x=1. There are differences of 4 and 2 in the exponents. The expansion: Has exponents that differ by 2. Has exponents that differ by 4. To get differences of 4 and 2 we use a This has the required differences of 4 then 2 in the exponents. Now I tried to use integration, differentiation or multiplication by x on (B) to make it look like series (A). I couldn't. So I tried This one doesn't have the required 4,2 difference in the exponents so it can't be right. When I tried: This looks good. Integrate this series and you get (C) is series (A). So we have: Now we need the integral. with x=1 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 20090429 11:58:10
Re: find sumThanks for posing it. It was really a tough problem. 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. #10 20110730 02:28:09
Re: find sumHi, "Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." #11 20111007 19:41:45
Re: find sumMy friend showed me this one the other day and I thought it was fun. #12 20111007 20:39:34
Re: find sumHi SeireeIngemia; 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 20111008 00:10:41
Re: find sumthe next element is 312211 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 