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

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 Solution

 Videos

Limit of (sin x)/x as x approaches 0

https://www.youtube.com/watch?v=5xitzTutKqM

_-substitution: definite integral of exponential function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=1ct7LUx23io

Finding specific antiderivatives: exponential function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=T8rbpI4OZCc

If function u is continuous at x, then _u_0 as _x_0 | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=l6T4RhlgkG0

Find the vertical and horizontal asymptotes

https://www.youtube.com/watch?v=YlEFGmfiNis

Solve for the Zeros Using Quadratic Formula

https://www.youtube.com/watch?v=tv7b5l5UT4Q

 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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