What is the limit as x approaches 0 of (3x^2-8x)/x ?

The limit as x approaches 0 of (3x^2-8x)/x is -8

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limit as x approaches 0 of (3x^2-8x)/x

x \to 0 lim (\frac{3 x ^{2} - 8 x}{x})

- 8

Solution steps

x \to 0 lim (\frac{3 x ^{2} - 8 x}{x})

Simplify

\frac{3 x ^{2} - 8 x}{x} : 3 x - 8

= x \to 0 lim (3 x - 8)

Plug in the value

x = 0

= 3 \cdot 0 - 8

Simplify

= - 8

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f (x) = x^{2} - 6, (- 2, - 2)

\frac{d}{d x} (a \cdot sin (x) + b \cdot cos (x))

x \to 9 lim (5 + x^{2})

\int_{0}^{8} \frac{1}{64 - x ^{2}} d x

What is the limit as x approaches 0 of (3x^2-8x)/x ?
The limit as x approaches 0 of (3x^2-8x)/x is -8