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

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

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

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

- 3

Solution steps

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

Simplify

\frac{3 x ^{2} - 3 x}{x} : 3 (x - 1)

= x \to 0 lim (3 (x - 1))

Plug in the value

x = 0

= 3 (0 - 1)

Simplify

= - 3

\frac{d}{d x} (e^{x} \cdot x^{2})

\int_{2}^{\infty} e^{- 2 p} d p

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

\int (x^{\frac{3}{2}} + 4 x + 4) d x

\frac{d}{d x} (- \frac{64}{( 1 + 8 x ) ^{2}})

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