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1) Prove: Any real number is an accumulation point of the set of rational number. 2)...

1) Prove: Any real number is an accumulation point of the set of rational number.

2) prove: if A ⊆ B and A,B are bounded then supA ≤ supB .

3) Give counterexample: For two sequences {an} and {bn}, if {anbn} converges then both sequences are convergent.

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