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

The limit as x approaches-3-of (x+3)/(x^2-9) is -1/6

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

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

- \frac{1}{6}

Decimal Notation

- 0.16666 \dots

Solution steps

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

Simplify

\frac{x + 3}{x ^{2} - 9} : \frac{1}{x - 3}

= x \to - 3 - lim (\frac{1}{x - 3})

Plug in the value

x = - 3

= \frac{1}{- 3 - 3}

Simplify

= - \frac{1}{6}

x \to \infty lim (+ x^{2})

x \to 2 lim ((2 x)^{2} - 1)

x \to 0 lim (\frac{x ^{2} - 5 x + 4}{x})

x \to 25 lim (x^{\frac{3}{2}})

x \to 1 lim ((\frac{x}{x + 1})^{x})

What is the limit as x approaches-3-of (x+3)/(x^2-9) ?
The limit as x approaches-3-of (x+3)/(x^2-9) is -1/6