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(1)Áîp=(2*n+1)^(1/n) , Lnp=ln(2*n+1)/n ,
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ºÎȱÌå: ½ð±Ò+1 2015-09-26 13:06:23
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ºÎȱÌå: ½ð±Ò+2 2015-09-26 13:06:36
(3)an={1-5/n}^n
Áîm=n/5  ,  an={1-1/m}^(5*m)={{1-1/m}^m}^5
¹Êanµ±nÇ÷ÓÚÎÞÇîʱµÄ¼«ÏÞΪe^(-5).

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5Â¥: Originally posted by peterflyer at 2015-09-26 07:36:40
(3)an={1-5/n}^n
Áîm=n/5  ,  an={1-1/m}^(5*m)={{1-1/m}^m}^5
¹Êanµ±nÇ÷ÓÚÎÞÇîʱµÄ¼«ÏÞΪe^(-5).

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7Â¥: Originally posted by Edstrayer at 2015-09-29 12:48:50
16ÀûÓÃÖØÒª¼«Ï޺ͼбƶ¨Àí¿ÉÖ¤£º
\sqrt{2}\cdot\sqrt{n}=\sqrt{2n}<a_n<\sqrt{3n}=\sqrt{3}\cdot\sqrt{n}
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\lim\limits_{n\to+\infty}\sqrt{a}=1(a>0),\lim\limits_{n\to+\infty}\sqrt{n}=1
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