Let Xn Be A Bounded Sequence Of Real Numbers Show That Xn Has A Convergent Subse

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Let xn be a bounded sequence of real numbers. Show that xn has a convergent subsequence.

Answer:Given xn be a bounded sequence of real numbers, so there exist an interval [ a, b ] such thatan ﾣ xn ﾣ bn for all n . a+baSo, either 1 , 1 1 1 1 , b1…

 
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