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pls use L'Hospital's rule to answer those questions. For each of the following pair of functions f (n) and g (n), decide if f (n)

pls use L'Hospital's rule to answer those questions.

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For each of the following pair of functions f (n) and g (n), decide if f (n) = O (g(n)), or g(n) = O (f(n), and explain (1) f(n) = 2^n, g(n) = n^log n (2) f(n) = Squareroot n, g(n) = (log n)^2 (3) f(n) = n^1/3, g(n) = n/log n (4) f(n) = n^3 + 2n^2 + 10n, g(n) = 100n^2 (5) f(n) = (log n)^3 + 5 log n, g(n) = n

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