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Problem #2. Compare the following pairs of functions f(n),g(n) in terms of order of magnitude. In each case determine whether f(n)=O(g(n)),f(n)=(g(n)), and/or f(n)= (g(n)) :

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Problem \#2. Compare the following pairs of functions f(n),g(n) in terms of order of magnitude. In each case determine whether f(n)=O(g(n)),f(n)=(g(n)), and/or f(n)= (g(n)) : (Give a brief justification for your answers.) 1. f(n)=0.2n1.05+loglogn,g(n)=n+(logn)5 2. f(n)=(loglogn)loglogn,g(n)=n1.5/logn 3. f(n)=n42n+8,g(n)=3n

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