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 -1

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

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

- 1

Solution steps

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

Simplify

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

= x \to 0 lim (x - 1)

Plug in the value

x = 0

= 0 - 1

Simplify

= - 1

\frac{\partial}{\partial x} (- 5 x cos (x^{2} - 5 x y))

\frac{d ^{2}}{d x} (y) + 2 \frac{d y}{d x} + y = 0

\frac{\partial}{\partial x} (e^{- 2 z} y sin (x))

cos (θ), 0.5

153 x^{2} - 0.06 x^{3}

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 -1