# Lim inf/sup question

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}
??

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