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Riemann Integral :)
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freemind
Riemann Hypothesis
Riemann Hypothesis


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#1
Riemann Integral :)
Moldova National MO 2008, 12 Grade, Problem 6 (Day 2)
Find \lim_{n\to\infty}a_n where (a_n)_{n\ge1} is defined by a_n=\frac1{\sqrt{n^2+8n-1}}+\frac1{\sqrt{n^2+16n-1}}+\frac1{\sqrt{n^2+24n-1}}+\ldots+\frac1{\sqrt{9n^2-1}}.
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The fate of equilibrium is to end the eternity...

PostPosted: Sun Mar 02, 2008 4:54 pm
Yuriy Solovyov
Yang-Mills Theory
Yang-Mills Theory


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#2
I=\lim_{n\to \infty}{a_n}
I=\lim_{n\to \infty}{\sum_{k=1}^{n}{\frac{1}{\sqrt{n^2+8kn-1}}}}=\lim_{n\to \infty}{\frac{1}{n}\sum_{k=1}^{n}{\frac{1}{\sqrt{...

PostPosted: Mon Mar 03, 2008 9:26 pm
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