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Prove the following theorem. let sn be a bounded sequence then li.pdf

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Prove the following theorem. let sn be a bounded sequence then: limsupsn=lim sup {sn: n>N} and and liminfsn= lim inf {sn:n>N} Solution I\'m sorry... the equations you\'ve given here are the ones I take as the definitions for limsup and liminf... can you post what you are using as a definition (so I can prove that they are equivalent to these ones.).

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Prove the following theorem. let sn be a bounded sequence then: limsupsn=lim sup {sn: n>N} and and liminfsn= lim inf {sn:n>N} Solution I'm sorry... the equations you've given here are the ones I take as the definitions for limsup and liminf... can you post what you are using as a definition (so I can prove that they are equivalent to these ones.)

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Prove the following theorem. let sn be a bounded sequence then li.pdf

  • 1. Prove the following theorem. let sn be a bounded sequence then: limsupsn=lim sup {sn: n>N} and and liminfsn= lim inf {sn:n>N} Solution I'm sorry... the equations you've given here are the ones I take as the definitions for limsup and liminf... can you post what you are using as a definition (so I can prove that they are equivalent to these ones.)