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

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

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

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

6

Solution steps

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

Simplify

\frac{9 - x ^{2}}{3 - x} : 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)/(3-x) ?
The limit as x approaches 3 of (9-x^2)/(3-x) is 6