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

The limit as x approaches-9 of (x^2-6)/(9-x) is 25/6

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

x \to - 9 lim (\frac{x ^{2} - 6}{9 - x})

\frac{25}{6}

Decimal Notation

4.16666 \dots

Solution steps

x \to - 9 lim (\frac{x ^{2} - 6}{9 - x})

Plug in the value

x = - 9

= \frac{( - 9 ) ^{2} - 6}{9 - ( - 9 )}

Simplify

\frac{( - 9 ) ^{2} - 6}{9 - ( - 9 )} : \frac{25}{6}

= \frac{25}{6}

ln (1 - 7 x)

\frac{d}{d x} (ln (1 + sin (2 x)))

\int \frac{x ^{3}}{x ^{3} - 7 x + 6} d x

\frac{\partial}{\partial y} (sin (3 x + 4 y))

\int \frac{cos ( t )}{1 + sin ( t )} d t

What is the limit as x approaches-9 of (x^2-6)/(9-x) ?
The limit as x approaches-9 of (x^2-6)/(9-x) is 25/6