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Algebra Baldor
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Find the limit of $\left(1-3x\right)^{\frac{1}{x}}$ as $x$ approaches 0

Used Formulas

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Solution

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Function Plot

Plotting: $\left(1-3x\right)^{\frac{1}{x}}$

Similar Problems Solved

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$\lim_{x\to0}x^x$

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$\lim_{x\to0}\left(\frac{1+x}{1-x}\right)^{\frac{1}{x^2}}$

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Find the limit

$\lim_{x\to0}\left(1+3x\right)^{\frac{1}{x}}$

Main Topic: Limits of Exponential Functions

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

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