What is the limit as x approaches 0 of (3x^2-6x)/x ?

The limit as x approaches 0 of (3x^2-6x)/x is -6

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limit as x approaches 0 of (3x^2-6x)/x

x \to 0 lim (\frac{3 x ^{2} - 6 x}{x})

- 6

Solution steps

x \to 0 lim (\frac{3 x ^{2} - 6 x}{x})

Simplify

\frac{3 x ^{2} - 6 x}{x} : 3 (x - 2)

= x \to 0 lim (3 (x - 2))

Plug in the value

x = 0

= 3 (0 - 2)

Simplify

= - 6

\frac{\partial}{\partial x} (7 x^{2} y + 5 x y^{3})

n = 1 \sum \infty (\frac{n}{n + 1})^{2}

x e^{- 0.2 x}, y = 0, x = 1

x \to 0 lim (e^{π (2 + 1)})

\int \frac{1}{t ^{3} t ^{2} - 9} d t

What is the limit as x approaches 0 of (3x^2-6x)/x ?
The limit as x approaches 0 of (3x^2-6x)/x is -6