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## Homework Statement

a real sequence (x[itex]_{n}[/itex]) is defined as follows: we take the elements in order (starting from

x0) to be

0, 1 , 0 , 1/10 , 2/10 ,... , 9/10, 1 0 , 1/100 ,2/100 ,..., 99/100 , 1 , 0 , 1/1000,...

So we take p for p = 0, 1, then p/10 for p = 0; .... 10, then p=100 for p = 0; ...., 100 and so on.

Which real numbers A have the property that some subsequence of (xn) converges to A?

Hi,

I am abit confused by what the question is asking do they want me to pick some values from the sequence and then this subsequence should converge to those values. But how can the sequence converge to all those values I have picked surely it can only converge to one of those values. I do not think I understand the question.

Help appreciated thanks.