What is the limit as x approaches 0 of (-11x^2+9x)/x ?

The limit as x approaches 0 of (-11x^2+9x)/x is 9

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limit as x approaches 0 of (-11x^2+9x)/x

x \to 0 lim (\frac{- 11 x ^{2} + 9 x}{x})

9

Solution steps

x \to 0 lim (\frac{- 11 x ^{2} + 9 x}{x})

Simplify

\frac{- 11 x ^{2} + 9 x}{x} : - 11 x + 9

= x \to 0 lim (- 11 x + 9)

Plug in the value

x = 0

= - 11 \cdot 0 + 9

Simplify

= 9

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What is the limit as x approaches 0 of (-11x^2+9x)/x ?
The limit as x approaches 0 of (-11x^2+9x)/x is 9