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

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

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

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

- 1

Solution steps

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

Simplify

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

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

Plug in the value

x = 0

= \frac{1}{3} (0 - 3)

Simplify

\frac{1}{3} (0 - 3) : - 1

= - 1

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