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Babyslapmafro
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Please help me find the limit of the following function (click to see).
 one year ago
 one year ago
Babyslapmafro Group Title
Please help me find the limit of the following function (click to see).
 one year ago
 one year ago

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Babyslapmafro Group TitleBest ResponseYou've already chosen the best response.0
\[\lim_{x \rightarrow 0^+}\frac{ cotx }{ lnx } \]
 one year ago

LolWolf Group TitleBest ResponseYou've already chosen the best response.1
There's no nice elementary method, other than l'Hospital's. At least, not that I can come up with: \[\begin{align} \lim_{x\to0^+}\left(\frac{\cot x}{\ln x}\right) &= \lim_{x\to0^+}\left(\frac{\frac{d}{dx}\cot x}{\frac{d}{dx}\ln x}\right)=\\\lim_{x\to0^+}\left(\frac{\csc^2 x}{\frac{1}{x}}\right)&=\lim_{x\to0^+}\left(x\csc x\right)=\infty \end{align}\]
 one year ago

Babyslapmafro Group TitleBest ResponseYou've already chosen the best response.0
thank you
 one year ago

LolWolf Group TitleBest ResponseYou've already chosen the best response.1
Sure thing.
 one year ago
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