Serie convergenta

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Cezar Lupu
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Serie convergenta

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Sa se arate ca seria \( \sum_{n\geq 1}\frac{\sqrt{p_{n+1}}-\sqrt{p_{n}}}{n} \) este convergenta, unde \( (p_{n})_{n\geq 1} \) reprezinta sirul numerelor prime.
Last edited by Cezar Lupu on Fri Dec 14, 2007 1:38 am, edited 1 time in total.
An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The bartender says “You’re all idiots”, and pours two beers.
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