What is the limit as x approaches-9 of (x^2-4)/(x-9) ?

The limit as x approaches-9 of (x^2-4)/(x-9) is -77/18

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limit as x approaches-9 of (x^2-4)/(x-9)

x \to - 9 lim (\frac{x ^{2} - 4}{x - 9})

- \frac{77}{18}

Decimal

- 4.27777 \dots

Solution steps

x \to - 9 lim (\frac{x ^{2} - 4}{x - 9})

Plug in the value

x = - 9

= \frac{( - 9 ) ^{2} - 4}{- 9 - 9}

Simplify

\frac{( - 9 ) ^{2} - 4}{- 9 - 9} : - \frac{77}{18}

= - \frac{77}{18}

x \to \infty lim (x^{4} e^{- x^{3}})

\int \frac{x ^{2} - 16}{x ^{3}} d x

t an g e n t f (x) = \frac{2 ln ( x )}{x}, at x = 1

\frac{d}{d x} (\frac{sin ( 8 x )}{e ^{4 x}})

x \to 0 lim (\frac{5 ^{x} - 1 3 ^{x}}{x})

What is the limit as x approaches-9 of (x^2-4)/(x-9) ?
The limit as x approaches-9 of (x^2-4)/(x-9) is -77/18