\(求證\sum_{n=1}^{\infty }\frac{1}{a_{n}}=2\)

ta5607 · 2016-10-30 20:40

Last edited by ta5607 2016-10-30 21:30\(已知a_{1}=1，a_{n+1}=1+a_{1}a_{2}a_{3}...a_{n}~~~(n\geq 1)\)
\(求證\sum_{n=1}^{\infty }\frac{1}{a_{n}}=2\)

我好像怎麼證都一直繞回原點...求解~

kuing · 2016-10-30 21:26

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[数列] \(求證\sum_{n=1}^{\infty }\frac{1}{a_{n}}=2\)

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