What is the limit as x approaches-6 of ((x^2-36))/(x+6) ?

The limit as x approaches-6 of ((x^2-36))/(x+6) is -12

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limit as x approaches-6 of ((x^2-36))/(x+6)

x \to - 6 lim (\frac{( x ^{2} - 36 )}{x + 6})

- 12

Solution steps

x \to - 6 lim (\frac{x ^{2} - 36}{x + 6})

Simplify

\frac{x ^{2} - 36}{x + 6} : x - 6

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

Plug in the value

x = - 6

= - 6 - 6

Simplify

= - 12

What is the limit as x approaches-6 of ((x^2-36))/(x+6) ?
The limit as x approaches-6 of ((x^2-36))/(x+6) is -12