What is the limit as x approaches-2 of x^2-x-6 ?

The limit as x approaches-2 of x^2-x-6 is 0

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limit as x approaches-2 of x^2-x-6

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

0

Solution steps

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

Plug in the value

x = - 2

= (- 2)^{2} - (- 2) - 6

Simplify

(- 2)^{2} - (- 2) - 6 : 0

= 0

x \to - 4 - lim (\frac{( x + 2 )}{x + 4})

x \to 0 lim (\frac{x ^{\frac{1}{3}}}{x})

x \to - 6 lim (\frac{2}{4 x + 10})

x \to 0 lim (ln (x) ln (x + 1))

x \to - 2 lim (x^{3} - 4 x^{2} + 6 x)

What is the limit as x approaches-2 of x^2-x-6 ?
The limit as x approaches-2 of x^2-x-6 is 0