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Find the limit of $\left(1-4x\right)^{\frac{1}{x}}$ as $x$ approaches 0

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 Solution

 Videos

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

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

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

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

Algebra 2 - Evaluating functions for numeric values, p(x) = 2x^2 - 4x + 1. Find p(2) and p(-1)

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

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

Mean value theorem example: square root function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=Xg24JhQHVCM

 Function Plot

Plotting: $\left(1-4x\right)^{\frac{1}{x}}$

 Main Topic: Limits of Exponential Functions

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

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