If is a convergent subsequence of , show that lim inf lim sup . Im not sure what lim inf [tex] and lim sup mean, since and are a number
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Originally Posted by wopashui If is a convergent subsequence of , show that lim inf lim sup . This basically an easy question. By definition of subsequence it must be the case that . Thus .
Originally Posted by Plato This basically an easy question. By definition of subsequence it must be the case that . Thus . hmm, but we are talking about the limit here, not just K and
Originally Posted by wopashui hmm, but we are talking about the limit here, not just K and Are you sure that you understand what means?
Originally Posted by Plato Are you sure that you understand what means? that is what im not sure about, I dunno what it means
Originally Posted by wopashui that is what im not sure about, I dunno what it means Well then, no wonder you cannot answer questions about it. Does it make sense to you that if then and Suppose that is a sequence.
we need to first show that and exist, do we?
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