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This question has originally been tagged "bounded variation", which is clearly wrong. I was looking for an "order of growth" tag or something similar, and couldn't find one. Three questions: what is the right tag for this question? Is there an order of growth tag? Would it be helpful to have one?

To the last question, I would suggest that there is a class of question which picks the order of growth of a function as a particular feature.

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There is an "asymptotics" tag already in use. I think it would be an appropriate tag for the question to which you refer.

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