What is the limit as x approaches 1 of (6x^2+12x-18)/(2x-2) ?

The limit as x approaches 1 of (6x^2+12x-18)/(2x-2) is 12

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limit as x approaches 1 of (6x^2+12x-18)/(2x-2)

x \to 1 lim (\frac{6 x ^{2} + 12 x - 18}{2 x - 2})

12

Solution steps

x \to 1 lim (\frac{6 x ^{2} + 12 x - 18}{2 x - 2})

Simplify

\frac{6 x ^{2} + 12 x - 18}{2 x - 2} : 3 (x + 3)

= x \to 1 lim (3 (x + 3))

Plug in the value

x = 1

= 3 (1 + 3)

Simplify

= 12

\int_{- 1}^{2} \frac{2}{( 2 x + 4 ) ^{3}} d x

\frac{\partial}{\partial y} (- sin (x^{2} y) \cdot 2 y x)

y^{^{''}} + 8 y^{^{'}} + \frac{73}{4} y = 0

\int 2 \cdot e^{- 2 x} d x

x \to 6 - lim (\frac{∣ x - 6 ∣}{x - 6})

What is the limit as x approaches 1 of (6x^2+12x-18)/(2x-2) ?
The limit as x approaches 1 of (6x^2+12x-18)/(2x-2) is 12