What is the limit as x approaches 0+of (1/x)^x ?

The limit as x approaches 0+of (1/x)^x is 1

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limit as x approaches 0+of (1/x)^x

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

1

Solution steps

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

Apply exponent rules

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

Apply the Limit Chain Rule:

1

= 1

sin (arccos (t))

\int \frac{1}{1 - 49 x ^{2}} d x

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

\int \frac{x}{x + 4} d x

\frac{d}{d x} ((x^{2} - 3) (x^{3} - 2 x))

What is the limit as x approaches 0+of (1/x)^x ?
The limit as x approaches 0+of (1/x)^x is 1