[微積] 證明數列遞增且有界

[KOREALee (韓國最高)]

Let the sequence


          1  n
An = (1+ ---)
          n


1.show that An is increasing

2.show that An is bounded


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※ 發信站: 批踢踢實業坊(ptt.cc) 
◆ From: 118.232.163.123
推 zombiea     :1+ 1/n+1 = n+1 +1 / n+1= n* n+1/n +1 / n+1\
→ zombiea     :≧ ( n+1/n )^(n/n+1)= An^(1/n+1)