limits – Oracle Tutoring, Campbell River, BC

Calculus: l’Hôpital’s rule: lim(x→∞) lnx/square root x

By Jack Posted on January 13, 2017 Posted in calculus Tagged with l'Hôpital's rule, limits, lnx/x^0.5

The tutor uses l’Hôpital’s rule to find a limit of form ∞/∞. l’Hôpital’s rule states that the limit of a quotient of form ∞/∞ or 0/0 can be found as follows: lim (f(x)/g(x)) = lim (f'(x)/g'(x)) In this case [noting …

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Calculus: lim_n→∞(n!)^(1/n)

By Jack Posted on September 18, 2016 Posted in calculus Tagged with limits

The tutor discusses the limit, as n goes to infinity, of the nth root of n factorial. It’s probably easy to agree that, for large n, n! > (n/6)^n. limn→∞ ((n/6)^n)^(1/n) = limn→∞n/6 = ∞ Therefore, limn→∞ (n!)^(1/n) = ∞, …

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Tag: limits

Calculus: l’Hôpital’s rule: lim(x→∞) lnx/square root x

Calculus: limn→∞(n!)^(1/n)

Calculus: lim_n→∞(n!)^(1/n)