What is the limit as x approaches-1 of (3x^2-9x-12)/(3x+3) ?

The limit as x approaches-1 of (3x^2-9x-12)/(3x+3) is -5

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limit as x approaches-1 of (3x^2-9x-12)/(3x+3)

x \to - 1 lim (\frac{3 x ^{2} - 9 x - 12}{3 x + 3})

- 5

Solution steps

x \to - 1 lim (\frac{3 x ^{2} - 9 x - 12}{3 x + 3})

Simplify

\frac{3 x ^{2} - 9 x - 12}{3 x + 3} : x - 4

= x \to - 1 lim (x - 4)

Plug in the value

x = - 1

= - 1 - 4

Simplify

= - 5

What is the limit as x approaches-1 of (3x^2-9x-12)/(3x+3) ?
The limit as x approaches-1 of (3x^2-9x-12)/(3x+3) is -5