What is the limit as x approaches 0-of (1/5)^{1/x} ?

The limit as x approaches 0-of (1/5)^{1/x} is infinity

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limit as x approaches 0-of (1/5)^{1/x}

x \to 0 - lim ((\frac{1}{5})^{\frac{1}{x}})

\infty

Solution steps

x \to 0 - lim ((\frac{1}{5})^{\frac{1}{x}})

Apply exponent rules

= x \to 0 - lim (e^{\frac{1}{x} l n (\frac{1}{5})})

Apply the Limit Chain Rule:

\infty

= \infty

x \to 1 - 0 lim (\frac{1}{1 - x})

x \to \infty + lim (x ln (x))

f (x) = x^{3} - 7 x^{2} + 6 x + 1

\int e^{x^{3}} x d x

\int \frac{3 - x}{1 - x ^{2}} d x

What is the limit as x approaches 0-of (1/5)^{1/x} ?
The limit as x approaches 0-of (1/5)^{1/x} is infinity