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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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  • $\begingroup$ What have you tried thus far? $\endgroup$ Commented Oct 20, 2019 at 14:56
  • $\begingroup$ Is this even about the software Wolfram Mathematica or is it a math question? $\endgroup$
    – C. E.
    Commented Oct 20, 2019 at 15:25
  • $\begingroup$ Sounds like a homework assignment. $\endgroup$
    – bbgodfrey
    Commented Oct 22, 2019 at 13:20

1 Answer 1

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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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