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Analysis problem (sequences)please help 
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#1
Nov1104, 08:45 PM

P: 174

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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