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