For each pair of the following functions, compare their asymptotic behaviour using the order notation. f(n) = e^n and g(n)= 3n^2
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What have you tried thus far? – Daniel Lichtblau Oct 20 '19 at 14:56
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Is this even about the software Wolfram Mathematica or is it a math question? – C. E. Oct 20 '19 at 15:25
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Sounds like a homework assignment. – bbgodfrey Oct 22 '19 at 13:20
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Mathematica 12.0 has got tools to this end:
AsymptoticLess[Exp[n], 3 n^2, n -> Infinity]
*False*
AsymptoticGreater[Exp[n], 3 n^2, n -> Infinity]
*True*
AsymptoticEqual[Exp[n], 3 n^2, n -> Infinity]
*False*
See the documentation for more info.
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