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 -6

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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})

- 6

Solution steps

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

Simplify

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

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

Plug in the value

x = - 3

= - 3 - 3

Simplify

= - 6

x \to \infty lim (\frac{- 1}{0})

x \to 2 lim (2 x^{2} - 5 x + 6)

h \to 0 lim (\frac{6}{h})

x \to 5 lim (\frac{3 x}{∣ x - 5 ∣})

x \to 0 lim (x^{0} \cdot sin (\frac{1}{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 -6