|Nov11-04, 08:45 PM||#1|
Analysis problem (sequences)--please help
Here is the definition:
t_n = [s_1 + s_2 + ... + s_n] / n ; n >/= 1
I have to show that if lim n-> [infinity] s_n = s, then lim n-> [infinity] t_n = s
First of all, I don't think it's true. Because if s is finite, then lim s/n as n-> [infinity] would be zero, right? And thus lim t_n as n-> [infinity] is zero, and they're not the same.
I'm just wondering how to go about this problem. Thank you.
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