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Lim inf/sup question

  • #1
1,395
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i got this example:

http://img405.imageshack.us/img405/2299/64500275qt5.gif [Broken]

i got a sequence of numbers
i cant understand from where they conclude that the limits of every sub sequence is {2,1,0,-1}

there are no sub sequences pointed out
there are no formulas for each sub sequence

how did they came with
that the limits of every sub sequence is {2,1,0,-1}
??
 
Last edited by a moderator:

Answers and Replies

  • #2
HallsofIvy
Science Advisor
Homework Helper
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The obvious subsequences is {2, 2, 2, 2, ...}, {1, 1, 1, 1, ...}, {0, 0, 0, ...}, and {-1, -1, -1, 0, ...}. Those are the only convergent subsequences.
 

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