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Mathematics, 18.02.2020 22:53 yaitzafigueroa

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:

f(n) = 18 + 28 + � + n8

f(n) = log(n!)

f(n) = log(nn) / (n9 + 1)

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