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You are not logged in. #1 20131120 08:01:05
Do you love limits?Hey guys,i'm new here. Hope u can help me with those 3 problems: Last edited by Yusuke00 (20131121 01:50:41) #2 20131120 08:27:55
Re: Do you love limits?Hi Yusuke00 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 20131120 09:50:13
Re: Do you love limits?I think he might have meant 1/(2log2)+1/(3log3)+...+1/(nlogn). Last edited by anonimnystefy (20131120 09:55:11) 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 #4 20131121 01:56:48
Re: Do you love limits?Yes i am sorry at 2) was +...+ #5 20131121 03:24:48
Re: Do you love limits?Hi; The integral test works well to prove divergence. 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 20131121 04:47:22
Re: Do you love limits?They don't ask to prove the divergence but a result. #7 20131121 04:51:14
Re: Do you love limits?If it diverges it means the sum is infinity. That is what I am talking about. Use the integral test and you will prove the sum 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. #9 20131121 05:01:03
Re: Do you love limits?Constant what does that mean? 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 20131121 05:12:15
Re: Do you love limits?it's 7e/16 i think. #11 20131121 05:14:43
Re: Do you love limits?Why do you think that sum converges besides from your memory? 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. #12 20131121 05:27:35
Re: Do you love limits?I am sorry you were write,i just found the notebook.apologize #13 20131121 05:32:00
Re: Do you love limits?Hunches are fine, but in math you will have to back them up with numerical evidence or proof. If that integral converges then so does the sum, if it diverges so does the sum: Say u = log(x), then du/dx = 1 / u, and the integral becomes Substituting back u = log(x) log(log(x)). Taking the limits of integration. The integral is infinity, so it diverges. The sum also equals infinity, so it 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. #14 20131121 05:37:56
Re: Do you love limits?The way the question is posed (with the limit instead of infinity as the upper sum limit), I would guess there is a missing term in front of the sum. Last edited by anonimnystefy (20131121 05:38:17) 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 #15 20131121 05:39:20
Re: Do you love limits?Yes that's a part i don't understand yet.I'm on last year of high school so i started learning about integrals just now.I still have to learn a bit more about integrals because at the time i solved it i used just Lagrange and derivates. #16 20131121 05:39:50
Re: Do you love limits?
The sum as given 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. #17 20131121 05:42:35
Re: Do you love limits?Not converge, sorry. What's its growth rate? 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 #18 20131121 05:43:54
Re: Do you love limits?Slower than 1 / n that is for sure. 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 20131121 05:46:14
Re: Do you love limits?Lagrange probably has 2000 theorems named after him. Do you mean the mean value theorem? 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 20131121 05:46:50
Re: Do you love limits?
I'm thinking it's O(log log n). Can you do the same limit, but with an 1/n in front of the sum. 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 20131121 05:48:26
Re: Do you love limits?Yes the mean value theorem.Sorry they don't call like that here. #23 20131121 05:50:48
Re: Do you love limits?That is okay. 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. #24 20131121 05:51:57
Re: Do you love limits?Hi bobbym
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 #25 20131121 05:52:55
Re: Do you love limits?Hi; 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. 