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Topic: Other result on asymptotics
Replies: 3   Last Post: Mar 12, 2009 3:20 PM

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Posts: 20
From: UK
Registered: 1/23/09
Other result on asymptotics
Posted: Mar 12, 2009 6:19 AM
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Hello! I need a result like this: if a_n decreases to zero and (a_n) sum_i=1^n x_i = o(1) as n -> infinity then the series sum_i=1^infifinty (a_i) (x_i) converges. Anyone knows a reference? Otherwise, if this is false what are the conditions on a_n (or x_n) to turn it true?


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