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Find the limit of $\sin\left(x\right)^x$ 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

Limits at infinity of quotients with trig (limit undefined) | AP Calculus AB | Khan Academy

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

Pre-Calculus - Learn how to find the sine of 5 pi over 4 without a calculator, sin(5(pi)/4)

https://www.youtube.com/watch?v=lTmwVQFNM7E

 Function Plot

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

 Main Topic: Limits of Exponential Functions

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

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