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Self-limited sequence (Posted on 2006-12-14) Difficulty: 4 of 5
For a given sequence S=x1,x2,x3,.. of real numbers, x is called a subsequential limit of S, if x is the limit of a subsequence of S. For example, the sequence 1+2-1,2+2-1,1+2-2,2+2-2,.. has the subsequential limits 1 and 2.

Let S be a sequence so that the set of its subsequential limits is identical to the set of sequence elements. Prove that S contains a subsequence of the form x,x,x,...

See The Solution Submitted by JLo    
Rating: 3.2500 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Observation | Comment 1 of 3
Nevermind.

Edited on December 14, 2006, 4:37 pm
  Posted by Richard on 2006-12-14 14:57:19

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