Find the limit of $\tan\left(x\right)^x$ as $x$ approaches 0

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Derivatives expressed as limits | Advanced derivatives | AP Calculus BC | Khan Academy

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Basic derivative rules (Part 1) | Derivative rules | AP Calculus AB | Khan Academy

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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

Calculus - Evaluating a limit by rationalizing the radical, lim(x tends to 0) (sqrt(x + 1) - 1)/x

https://www.youtube.com/watch?v=v8dIvXm03dw

Function Plot

Plotting: $\tan\left(x\right)^x$

Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

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