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

The limit as x approaches-3 of (9-x^2)/(x+3) is 6

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

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

6

Solution steps

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

Simplify

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

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

Plug in the value

x = - 3

= - (- 3) + 3

Simplify

= 6

What is the limit as x approaches-3 of (9-x^2)/(x+3) ?
The limit as x approaches-3 of (9-x^2)/(x+3) is 6