What is the limit as x approaches 0 of (4x^2-2x)/x ?

The limit as x approaches 0 of (4x^2-2x)/x is -2

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limit as x approaches 0 of (4x^2-2x)/x

x \to 0 lim (\frac{4 x ^{2} - 2 x}{x})

- 2

Solution steps

x \to 0 lim (\frac{4 x ^{2} - 2 x}{x})

Simplify

\frac{4 x ^{2} - 2 x}{x} : 2 (2 x - 1)

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

Plug in the value

x = 0

= 2 (2 \cdot 0 - 1)

Simplify

= - 2

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

\int \frac{1}{( x - 2 ) ( x - 4 ) ( x + 1 )} d x

\frac{d}{d x} (a x^{4} - 2 a x^{3} + 2 b x^{2} \cdot ln (\frac{x}{2}))

x + 2

x = - y^{2} + 4 y, [1, 4]

What is the limit as x approaches 0 of (4x^2-2x)/x ?
The limit as x approaches 0 of (4x^2-2x)/x is -2