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= For each of the following functions, decide the asymptotic relationships between f(n) and g(n). i.e., decide if f(n) 0(g(n)), f(n) = 2(g(n)), or f(n)

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= For each of the following functions, decide the asymptotic relationships between f(n) and g(n). i.e., decide if f(n) 0(g(n)), f(n) = 2(g(n)), or f(n) = (g(n)). For full marks you must provide proofs that justify your answers. All logarithms are base 2 unless otherwise stated. = = (i) f(n) = (logn)logn = g(n) =nlog logn 8(n) = 22n+1 (j) f(n) = 32" = =

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