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Arrange the following functions in ascending order of growth rates. This means that if g(n) is right after f(n) it should follow the principle that
Arrange the following functions in ascending order of growth rates. This means that if g(n) is right after f(n) it should follow the principle that f(n) = O(g(n)). Justify why as well.
g1(n)=2log2ng2(n)=2ng3(n)=n40000g4(n)=n(log2n)1000g5(n)=2345677nlog2ng6(n)=22ng7(n)=2n2 If necessary, you may use the following fact. If limng(n)f(n) is at most a constant then f(n)= O(g(n))
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