[微積] 證明數列遞增且有界

看板Math作者 (韓國最高)時間13年前 (2011/05/30 19:13), 編輯推噓1(1推 0噓 1→)
留言2則, 1人參與, 最新討論串1/2 (看更多)
Let the sequence 1 n An = (1+ ---) n 1.show that An is increasing 2.show that An is bounded -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 118.232.163.123
推
05/30 20:05, , 1F
1+ 1/n+1 = n+1 +1 / n+1= n* n+1/n +1 / n+1\
05/30 20:05, 1F
→
05/30 20:06, , 2F
≧ ( n+1/n )^(n/n+1)= An^(1/n+1)
05/30 20:06, 2F
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文章代碼(AID): #1Dutlmfn (Math)