Proving: If Xt -> 0 as t -> ∞, (1/T)sum (Xt) -> 0

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SUMMARY

The discussion centers on proving that if Xt approaches zero as t approaches infinity, then the average (1/T)sum(Xt) also approaches zero. The variable T represents the number of terms in the summation. This conclusion is established through the properties of limits and the behavior of converging sequences.

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CHatUPenn
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How to prove
If Xt goes to zero as t goes to infinite,
(1/T)sum (Xt) also goes to zero ? (average of Xt)

Many thanks
 
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What is "T"?
 
T is number of terms of the summation
 

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