What is the limit as x approaches 0 of (x^2-9x)/x ?

The limit as x approaches 0 of (x^2-9x)/x is -9

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limit as x approaches 0 of (x^2-9x)/x

x \to 0 lim (\frac{x ^{2} - 9 x}{x})

- 9

Solution steps

x \to 0 lim (\frac{x ^{2} - 9 x}{x})

Simplify

\frac{x ^{2} - 9 x}{x} : x - 9

= x \to 0 lim (x - 9)

Plug in the value

x = 0

= 0 - 9

Simplify

= - 9

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What is the limit as x approaches 0 of (x^2-9x)/x ?
The limit as x approaches 0 of (x^2-9x)/x is -9