What is the limit as x approaches 1 of (2/x-2)/(x-1) ?

The limit as x approaches 1 of (2/x-2)/(x-1) is -2

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limit as x approaches 1 of (2/x-2)/(x-1)

x \to 1 lim (\frac{\frac{2}{x} - 2}{x - 1})

- 2

Solution steps

x \to 1 lim (\frac{\frac{2}{x} - 2}{x - 1})

Simplify

\frac{\frac{2}{x} - 2}{x - 1} : - \frac{2}{x}

= x \to 1 lim (- \frac{2}{x})

Plug in the value

x = 1

= - \frac{2}{1}

Simplify

= - 2

\frac{\partial}{\partial x} (e^{x} + e^{- x})

f (x) = x^{3} - 8 x + 2

\frac{d}{d x} (3 x^{2} + x + 4)

\int_{1}^{4} x^{- \frac{3}{2}} d x

\int_{0}^{4} \frac{5 π y ^{4}}{4} d y

What is the limit as x approaches 1 of (2/x-2)/(x-1) ?
The limit as x approaches 1 of (2/x-2)/(x-1) is -2