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Mathematics, 23.03.2020 18:21 jazare05

In this problem it will be useful to recall the following properties of logarithms: log(xy)=log(x)+log(y) and log(xa)=alog(x).
Find the least integer k such that f(n) is O(nk) for each of the following functions:

a. f(n) = 18 + 28 + n8
b. f(n) = log(n!)
c. f(n) = log(nn) / (n9 + 1)

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