leo爸的证明是正确的。您的担心是多余的。

很明显， n = 2,3, ..... , for each n，a = (1/n)^(1/(n-1)) 和 b = (1/n)^(n/(n-1))  是不同的。由于 n 可取无限位数 2，3，… ，无须证明infinite。请注意, n 不能是1，因为你不能除零。

所有跟帖： 

• n 是无限的，不一定由它组成的函数是无限的。 -yddad- ♂ (18 bytes) () 11/02/2011 postreply 12:55:15

• Again, 您的担心是多余的。 -michigan007- ♀ (1507 bytes) () 11/02/2011 postreply 16:26:11

• 回复：Again, 您的担心是多余的。 -yddad- ♂ (193 bytes) () 11/02/2011 postreply 18:29:02

• You were confused -michigan007- ♀ (676 bytes) () 11/03/2011 postreply 06:25:20

• 我没有说他是是错的只是说不严密 -yddad- ♂ (445 bytes) () 11/02/2011 postreply 13:27:21

• Where is your logic? -michigan007- ♀ (4941 bytes) () 11/02/2011 postreply 16:28:30

• we are using different logic. -yddad- ♂ (4905 bytes) () 11/02/2011 postreply 18:50:02

• Your logic is wrong. -michigan007- ♀ (2647 bytes) () 11/03/2011 postreply 09:53:05

• Please read the question carefully -michigan007- ♀ (1376 bytes) () 11/02/2011 postreply 16:48:29

• Yes, I do read carefully. -yddad- ♂ (420 bytes) () 11/02/2011 postreply 18:23:58

• You were confused again -michigan007- ♀ (2074 bytes) () 11/03/2011 postreply 06:23:18

• 哈哈 -yddad- ♂ (101 bytes) () 11/03/2011 postreply 07:01:24