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}

y = (x^{3} - 25 x)^{12}, (5, 0)

\int x sin (d) x d x

x \to \frac{π}{4} lim (sec (x))

\frac{2}{3 ( s - 3 ) ^{2} + 12}

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