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Question Video: Using L’Hôpital’s Rule to Find the Value of a Limit Involving a Logarithmic Function at Infinity Mathematics
Given functions 𝑓 and 𝐹, that are positive for large values of 𝑥, we say that 𝐹 dominates 𝑓 as 𝑥 → ∞ if lim_(𝑥 → ∞) 𝑓((𝑥))/(𝐹(𝑥)) = 0. Use L’Hopital’s rule to determine which is dominant as 𝑥 → ∞: ln 𝑥 or √𝑥.
