Help with limit problem

From: Herb (fuzzykyh_at_nate.com)
Date: 02/13/05


Date: Sun, 13 Feb 2005 15:39:12 +0900

When lim(n->oo) x_n = a,
If y_n=(x_1 + ... + x_n)/n then
Show that lim(n->oo) y_n = a.

Could someone give me a hint or sketch of the solution ?
Any help appreciated.


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