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You are not logged in. #176 20110916 07:17:22
Re: SeriesYou might try using the Binet formula hoping that there would be some cancellation. Or you can try expanding the first few terms and trying to recognize the generating function. 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. #177 20110916 07:22:07
Re: Seriesi don't know any of that stuff.what about 19? 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 #178 20110916 07:27:06
Re: Series19, possibly snake oil method. Or again using a table to recognize the generating function. 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. #179 20110916 22:06:30
Re: SeriesHi gAr; 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. #180 20110917 02:42:35
Re: Serieswhere can i find it? 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 #181 20110917 04:26:00
Re: SeriesIt? The fountain of youth? The Oracle at Delphi? The room beneath the Sphinx? The ark of the Covenant? King Solomons gold? Brad Pitts ambition? Darth Vader's and the Cowardly Lion's courage? The opening to the alien base beneath Vegas? 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. #182 20110917 16:33:02
Re: SeriesHi bobbym, "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." #183 20110917 19:29:53
Re: SeriesHi gAr; 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. #184 20110917 20:08:51
Re: Series
"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." #185 20110918 00:22:04
Re: SeriesHi gAr; 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. #186 20110918 13:11:38
Re: SeriesHi bobbym, "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." #187 20110919 01:11:11
Re: SeriesIs this convergent or divergent? Please look at this amended pronblem. (All variables are the same now.) Last edited by reconsideryouranswer (20110920 00:47:14) Signature line: I wish a had a more interesting signature line. #188 20110919 19:03:05
Re: SeriesHi;
Since; Has no solutions, the summand is a constant and an infinite sum of constants does not converge. 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. #189 20110920 00:14:07
Re: Series
1) So, I don't see your first part of your message as being sufficient to justify that the sum is divergent (not convergent). Signature line: I wish a had a more interesting signature line. #190 20110920 00:17:21
Re: SeriesYour 2) is incorrect. That only applies when the x is part of the indices: Which is not the same as: The top one is adding up a sequence that is getting smaller and it converges. The second one is adding up a sequence that never changes, it diverges. You do not need limits here. There is no value that can make the summand = 0. Therefore for all values of x the summand is a constant. It never changes, Add up an infinite bunch of constants and you have a divergent series. 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. #191 20110920 00:48:27
Re: Series

There was a misunderstanding here by me, Last edited by reconsideryouranswer (20110920 01:07:11) Signature line: I wish a had a more interesting signature line. #192 20110923 15:30:33
Re: SeriesHi reconsideryouranswer; Using the comparison test: The RHS is a variant of the harmonic series and is known to diverge. In order for that inequality to be true then: must be true. Raise both sides to the n^n th power: This is obvious for all n>=1. This now implies: Since your sum is greater than a known series that diverges by the comparison test it too diverges. 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. #193 20110926 23:06:01
Re: Series22) "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." #194 20120218 04:52:56
Re: Seriesany easier sums? 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 #195 20120218 04:58:58
Re: SeriesNope, only after all the sums here are solved! "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." #196 20120218 05:01:55
Re: Seriesbut i don't know how to solve these sums.that's why i asked for some easier ones. 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 #197 20120221 04:33:26
Re: Serieshi gAr Last edited by anonimnystefy (20120221 04:39:18) 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 #198 20120221 09:30:53
Re: SeriesHi anonimnystefy; 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. #199 20120222 01:19:06
Re: SeriesHi anonimnystefy, "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." #200 20120222 02:52:07
Re: Serieshi guys 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 