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

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

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

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

- 1

Solution steps

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

Plug in the value

x = 1

= \frac{1}{1 ^{2} - 2 \cdot 1}

Simplify

\frac{1}{1 ^{2} - 2 \cdot 1} : - 1

= - 1

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

\frac{d}{d x} (\frac{1}{x ^{15}})

\frac{1}{14 x ^{2}}, x, \frac{x}{4}

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

\int_{0}^{1} \frac{1}{3 x} d x

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