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> True exponential growth is possible, but I suspect is rare, because the expenses can also compound

If you have an exponential (revenues) and another exponential of smaller rate (expenses; assume you have profit) then the difference is still an exponential.



This is in fact the most interesting exponential!

Plot the graph of 2^x - 1.99^x to see what I mean. It stays close to the axis for a while and then suddenly shoots up. Follows the trajectory of quite a few companies now that I think of it.




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