What is the limit as x approaches 0 of (x^2-2x)/x ?

The limit as x approaches 0 of (x^2-2x)/x is -2

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limit as x approaches 0 of (x^2-2x)/x

x \to 0 lim (\frac{x ^{2} - 2 x}{x})

- 2

Solution steps

x \to 0 lim (\frac{x ^{2} - 2 x}{x})

Simplify

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

= x \to 0 lim (x - 2)

Plug in the value

x = 0

= 0 - 2

Simplify

= - 2

\frac{d}{d x} (- sin (5 x))

\int_{0}^{2 π} sin^{2} (8 x) d x

\frac{\partial}{\partial y} (27 x y^{2} + 8 y^{3})

x \to 2 lim (4 x - 5)

\int \frac{1 - x + 2 x ^{2} - x ^{3}}{x ^{5} + 2 x ^{3} + x} d x

What is the limit as x approaches 0 of (x^2-2x)/x ?
The limit as x approaches 0 of (x^2-2x)/x is -2