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

The limit as x approaches 0 of ((2x^2-x))/x is -1

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

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

- 1

Solution steps

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

Simplify

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

= x \to 0 lim (2 x - 1)

Plug in the value

x = 0

= 2 \cdot 0 - 1

Simplify

= - 1

What is the limit as x approaches 0 of ((2x^2-x))/x ?
The limit as x approaches 0 of ((2x^2-x))/x is -1