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

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

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

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

- 3

Solution steps

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

Simplify

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

= x \to 0 lim (\frac{3}{2 x - 1})

Plug in the value

x = 0

= \frac{3}{2 \cdot 0 - 1}

Simplify

= - 3

\frac{( x + 4 ) ( x ^{2} - 4 x + 16 )}{x ^{3}}

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\frac{d}{d x} (x 36 - x^{2})

\frac{d}{d x} ((2 x + 3) (5 x^{2} - 4 x))

\int_{0}^{b} e^{\frac{x}{2}} d x

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