Suppose that is a bounded sequence of real numbers.Show that is a bounded decreasing sequence and deduce that ,ie .
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Originally Posted by Markeur Suppose that is a bounded sequence of real numbers.Show that is a bounded decreasing sequence and deduce that ,ie . If , the is a subset of . Any upper bound for the second is an upper bound for the first.
Originally Posted by HallsofIvy If , the is a subset of . Any upper bound for the second is an upper bound for the first. Hmm you mean is a subset of ?And how to prove that the sequence is decreasing as well?
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