Take a look at the sequence1/2, 1/3, 2/3, 1/4, 2/4, 3/4, 1/5, 2/5, 3/5, 4/5, 1/6, 2/6, 3/6, 4/6, 5/6, 1/7,….. Does there exist a sequence (an) where, for every L in R (real numbers) there is exists a subsequence of (an) which converges to L?

Take a look at the sequence1/2, 1/3, 2/3, 1/4, 2/4, 3/4, 1/5, 2/5, 3/5, 4/5, 1/6, 2/6, 3/6, 4/6, 5/6, 1/7,…..
Does there exist a sequence (an) where, for every L in R (real numbers) there is exists a subsequence of (an) which converges to L?
 
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The post Take a look at the sequence1/2, 1/3, 2/3, 1/4, 2/4, 3/4, 1/5, 2/5, 3/5, 4/5, 1/6, 2/6, 3/6, 4/6, 5/6, 1/7,….. Does there exist a sequence (an) where, for every L in R (real numbers) there is exists a subsequence of (an) which converges to L? appeared first on Superb Professors.

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