Example:
Take the sequence
.
Extract every other member, starting with the first. Then do
the same, starting with the second.
The sequence
= {-1, 1, -1, 1, -1, 1, ...}.
Therefore:
If we extract every second number, starting with the first,
we get:
This subsequence now converges to -1.
If we extract every second number, starting with the second,
we get:
This subsequence now converges to -1.
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