Is Sigma(y(n)) Absolutely Convergent if y(n) = O(x(n))?

penguin007
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Hi,

assume sigma(x(n)) is an absolutly convergent series and that y(n)=O(x(n)), then can we conclude that sigma(y(n)) is absolutly convergent?


thanks
 
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Yes. That is pretty close to being the definition of "O".
 
thanks again
 

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