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You are not logged in. #1 20130318 09:55:35
Estimating a sum of a seriesThe problem: Calculate a partial sum for the first ten terms, estimate the error. Round answers to five decimal places. Well, the partial sum is not a problem  a few minutes with a calculator and the answer is 1.04931. But the error estimation part gives me the trouble. As far as I understand, I am supposed to solve: And to solve this I need to find an integral of that scary function. But I have no idea how to approach this integral. #2 20130318 10:10:08
Re: Estimating a sum of a seriesHi; Would they suffice? The integral has a known closed form but not in terms of elementary functions. We could numerically integrate it or as I said we could use other means to bound the tail. Last edited by bobbym (20130318 10:23:14) 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. #4 20130318 11:18:33
Re: Estimating a sum of a seriesHi; 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 20130318 13:59:53
Re: Estimating a sum of a seriesHi; Last edited by bobbym (20130318 19:30:49) 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. 