Question: Problem Number 5 Let f(n) and g(n) be asymptotically positive functions, and assume that lim g(n) = . Prove that 4. 00 if f (n)

Problem Number 5

Problem Number 5 Let f(n) and g(n) be asymptotically positive functions, and

Let f(n) and g(n) be asymptotically positive functions, and assume that lim g(n) = . Prove that 4. 00 if f (n) = 0(g(n)), then In(f(n)) = 0(In(g(n))). (Problem 3.2-8) Show that if f (n) In f (n) = 0(n), then f (n) = 0(n/ln n). Hint: use the result of the preceding problem. 5

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