What is the limit as x approaches 0 of (7x^2-6x)/x ?

The limit as x approaches 0 of (7x^2-6x)/x is -6

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limit as x approaches 0 of (7x^2-6x)/x

x \to 0 lim (\frac{7 x ^{2} - 6 x}{x})

- 6

Solution steps

x \to 0 lim (\frac{7 x ^{2} - 6 x}{x})

Simplify

\frac{7 x ^{2} - 6 x}{x} : 7 x - 6

= x \to 0 lim (7 x - 6)

Plug in the value

x = 0

= 7 \cdot 0 - 6

Simplify

= - 6

\frac{d}{d x} (8 x^{3} - cos (4 x))

\int x + \frac{1}{x} - 7 d x

\frac{d}{d x} (e^{- x} cos (y) - e^{- y} cos (x))

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

y^{^{'}} = (2 - y) y

What is the limit as x approaches 0 of (7x^2-6x)/x ?
The limit as x approaches 0 of (7x^2-6x)/x is -6