What is the limit as x approaches 0 of (5x^2-6x)/x ?

The limit as x approaches 0 of (5x^2-6x)/x is -6

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limit as x approaches 0 of (5x^2-6x)/x

x \to 0 lim (\frac{5 x ^{2} - 6 x}{x})

- 6

Solution steps

x \to 0 lim (\frac{5 x ^{2} - 6 x}{x})

Simplify

\frac{5 x ^{2} - 6 x}{x} : 5 x - 6

= x \to 0 lim (5 x - 6)

Plug in the value

x = 0

= 5 \cdot 0 - 6

Simplify

= - 6

\frac{1}{( s + 2 ) ( s + 1 )}

(2 x^{2} - 7)^{- 1}

\int \frac{1}{x ln ( x ^{8} )} d x

\frac{d y}{d x} = \frac{6 y ^{2} + 5 x ^{2}}{x y}

f (x) = \frac{2}{x ^{3}}

What is the limit as x approaches 0 of (5x^2-6x)/x ?
The limit as x approaches 0 of (5x^2-6x)/x is -6