What is the limit as x approaches infinity of (1-5x)^{5/x} ?

The limit as x approaches infinity of (1-5x)^{5/x} is Does not exist

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limit as x approaches infinity of (1-5x)^{5/x}

x \to \infty lim ((1 - 5 x)^{\frac{5}{x}})

Does not exist

Solution steps

x \to \infty lim ((1 - 5 x)^{\frac{5}{x}})

(1 - 5 x)^{\frac{5}{x}}

undefined for

x

approaching

\infty

= Does not exist

What is the limit as x approaches infinity of (1-5x)^{5/x} ?
The limit as x approaches infinity of (1-5x)^{5/x} is Does not exist