推 BIEGABOY:這個不錯... 118.171.35.41 02/09 18:03
推 gkaok2:推~~ 140.113.93.114 02/09 21:24
推 feit:謝謝你^^~ 219.86.201.42 02/11 03:27
※ 引述《BIEGABOY (BIEGABOY)》之銘言：
: Let the sequence an=(1+1/n)^n
: 1.show that an is increasing.
即證
(1+1/n)^n < (1+1/(n+1))^(n+1)
pf:
由算幾不等式:
共n個
╭────────────╮
(1+1/n)+(1+1/n)+....+(1+1/n) + 1 n+1
--------------------------------- > √((1+1/n)^n)
n+1
=> (1+1/(n+1))^(n+1) > (1+1/n)^n , Q.E.D.
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