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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- September 24th 2011, 03:31 PMwopashuisequence with convergent subsequence
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 - September 24th 2011, 03:55 PMPlatoRe: sequence with convergent subsequence
- September 25th 2011, 04:08 PMwopashuiRe: sequence with convergent subsequence
- September 25th 2011, 04:23 PMPlatoRe: sequence with convergent subsequence
- September 25th 2011, 05:14 PMwopashuiRe: sequence with convergent subsequence
- September 25th 2011, 06:03 PMPlatoRe: sequence with convergent subsequence
- September 28th 2011, 05:30 PMwopashuiRe: sequence with convergent subsequence
we need to first show that and exist, do we?