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Question: Incorrect Limit

Question:Incorrect Limit

azdbacks4234 89 Maple
integer
February 09 2007
0
This may be something that has been addressed, and I'm certainly not insinuating anything is wrong with Maple; I'm just curious if anyone has any insight about this. Given a positive real number x, the sequence defined by a_n=([x]+[2x]+...+[nx])/n^2, where [x] denotes the greatest integer (or floor) function, converges to x/2, but Maple gives me 0 as the limit (could it have anything to do with the fact that n is not a continuous real variable; I tried assuming(n::integer) without luck). Any ideas? Thanks a lot. Keenan
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