Find the limit of $\cot\left(x\right)^{\ln\left(x\right)}$ as $x$ approaches 0

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Evaluate the limit $\lim_{x\to0}\left(\cot\left(x\right)^{\ln\left(x\right)}\right)$ by replacing all occurrences of $x$ by $0$

$\cot\left(0\right)^{\ln\left(0\right)}$

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$\cot\left(0\right)^{\ln\left(0\right)}$

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Learn how to solve limits of exponential functions problems step by step online. Find the limit of cot(x)^ln(x) as x approaches 0. Evaluate the limit \lim_{x\to0}\left(\cot\left(x\right)^{\ln\left(x\right)}\right) by replacing all occurrences of x by 0. \ln(0) grows unbounded towards minus infinity. Apply the formula: n^{- \infty }=0, where n=\cot\left(0\right).

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Function Plot

Plotting: $\cot\left(x\right)^{\ln\left(x\right)}$

Main Topic: Limits of Exponential Functions

Those are limits of expressions of the form f(x)^g(x).

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