I deleted some shared files from limewire and after one weeks, there is still download request from other node, how does it happen and who save my file information out there?

Basically everyone who ever downloaded from you. But they should stop caching your location after a while.

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Morgens ess ich Cornflakes und abends ess ich Brot
Und wenn ich lang genug gelebt hab, dann sterb ich und bin tot

--Fischmob

Well, that's one possibility. But downloading even just after searching, I am still getting file not found exception.