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

[CHatUPenn]

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

 

[HallsofIvy]

What is "T"?

 

[CHatUPenn]

T is number of terms of the summation