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- lim log(n + a) / log(n) =
- = lim log(n (1 + a/n)) / log(n) =
- = lim (log(n) + log(1 + a/n)) / log(n) =
- = lim 1 + (log(1 + a/n)/log(n)) =
- = 1
- C = lim sup f(n) / log(n) =
- = lim sup f(n) / log(n + a) * log(n + a) / log(n) =
- = (lim sup f(n) / log(n + a)) * 1
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