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**pineapple89** Hi everyone,

I've got a problem on a practice test that I can't quite get my head around.

Let the sequence a subscript n, going from 1 to infinity, be bounded above by M. If the sequence goes to L as n goes to infinity, show (using an epsilon - N argument) that L <= M.

I'm given the hint: Assume to the contrary that L > M, then (L-M)>0 so you may take epsilon = (L-M)/2 in your epsilon - N argument.

I've gotten to the stage where I have (L+M)/2 < a subscript n < (3L-M)/2 and am not sure how to proceed.