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Proof of convergent sequences

  1. Apr 24, 2012 #1
    How can we prove this statement?


    It two subsequences (a2n) and (a2n-1) converge to the same value,then (an)) converges to that value also.
     
  2. jcsd
  3. Apr 24, 2012 #2

    tiny-tim

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    hi e179285! :smile:

    just write out the δ,ε definition twice, once for each series, then adapt it :wink:

    (instead of δ, and x < δ, you use n, and n > N)
     
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