Not sure about other database environments but with Microsoft SQL server the database field will hold up to 1,073,741,823 unicode characters. Which would come out to 2,147,483,646 bytes of disk space or roughly 2GB of text. But really, you're going to have network bandwidth and client memory problems well before that.
So, for all practical purposes the answer is the only limits would be those that are imposed by your network connection speed and the processing power of the machine accessing the page.
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