If we have an increasing sequence of sets, $A_n \subset A_{n+1}$, prove that the limit of this sequence not only exists but is the union of the sets. i.e. $ A_n \uparrow\cup_{n=1}^{\infty}A_n$.
Prove the limit of monotone increasing set is the union of sets?
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elementary-set-theory
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0How do you think you should start? What have you tried? What are your thoughts? – 2012-09-30
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2The first thing to do is to make sure you know the definition of a limit of a sequence of sets. – 2012-09-30