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

d er i v a t i v e y = (x)^{x}

f (x) = 7 sin (x)

\frac{d}{d x} (\frac{- 2}{x})

\int \frac{x}{x ^{2} - 16} d x

d er i v a t i v e f (x) = x (x^{2} + 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