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

The limit as x approaches 0 of ((3x^2-x))/x is -1

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

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

- 1

Solution steps

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

Simplify

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

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

Plug in the value

x = 0

= 3 \cdot 0 - 1

Simplify

= - 1

x \to - 5 lim (\frac{x + 5}{x})

x \to 3 lim (\frac{0}{0})

x \to 0 lim (\frac{x}{x ^{2} - 7 x})

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

x \to 0 lim (2 + \frac{sin ( x )}{x})

What is the limit as x approaches 0 of ((3x^2-x))/x ?
The limit as x approaches 0 of ((3x^2-x))/x is -1