Proof of convergent sequences

  • Thread starter e179285
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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.
 

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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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