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

The limit as x approaches 3-of (x^2-9)/(x+3) is 0

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

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

0

Solution steps

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

Plug in the value

x = 3

= \frac{3 ^{2} - 9}{3 + 3}

Simplify

= 0

x \to 0 lim (\frac{1}{x ^{2}})

x \to - 4 + lim (16 - x^{2})

x \to 0 lim (- \frac{ln ( x )}{x})

x \to \frac{π}{2} lim (2 x - π)

x \to 1 lim (3 + ln (x))

What is the limit as x approaches 3-of (x^2-9)/(x+3) ?
The limit as x approaches 3-of (x^2-9)/(x+3) is 0