# Stirling's Approximations and Growth Rate of Functions : Limits, Infimum, Supremum, Asymptotic Upper Bound, Asymptotically Negligible, Asymptotic Lower Bound, Asymptotically Dominant and Asymptotically Tight Bound

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Function A Function B

(n^2) ! n^n

is A=O(B) ? Yes/No

is A=o(B) ? Yes/No

is A=Big Omega(B) ? Yes/No

is A=Small Omega(B) ? Yes/No

is A=Theta(b) ? Yes/No.

https://brainmass.com/math/graphs-and-functions/stirling-s-approximations-and-growth-rate-of-functions-43600

#### Solution Summary

Stirling's approximations and growth rate of functions are investigated with regard to limits, infimum, supremum, asymptotic upper bound, asymptotically negligible, asymptotic lower bound, asymptotically dominant and asymptotically tight bound. The solution is detailed and well presented.

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