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If f = O(g), is e^f = O(e^g)?
I’m having difficultly figuring out the above question. An example would be welcome. Also, if you use l’Hôpital’s rule, please show how you do differentiation.
This statement is wrong, for example 2n = O(n), but exp(2n) != O(exp(n)). (The latter would mean exp(2n) <= C exp(n) for sufficiently large n, i.e. exp(n) <= C which is not true.)