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

The limit as x approaches 0+of (1-1/x)^x is Does not exist

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

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

Does not exist

Solution steps

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

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

undefined for

x

approaching

0

from the right

= Does not exist

x \to 0 + lim ((e^{x} - 1) cot (x))

x \to 0 lim (\frac{ln ( x ^{2} + 1 )}{x + 4 \cdot sin ( x )})

x \to 0 lim (x^{3} \cdot cos (\frac{1}{x}))

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

n \to \infty lim (n)

What is the limit as x approaches 0+of (1-1/x)^x ?
The limit as x approaches 0+of (1-1/x)^x is Does not exist