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

The limit as x approaches-9 of (x^2-3)/(9-x) is 13/3

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

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

\frac{13}{3}

Decimal Notation

4.33333 \dots

Solution steps

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

Plug in the value

x = - 9

= \frac{( - 9 ) ^{2} - 3}{9 - ( - 9 )}

Simplify

\frac{( - 9 ) ^{2} - 3}{9 - ( - 9 )} : \frac{13}{3}

= \frac{13}{3}

\int_{0}^{\frac{π}{2}} 12 cos^{5} (x) d x

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\frac{s}{s ( s + 1 )}

\int \frac{e ^{\frac{8}{x}}}{x ^{2}} d x

\frac{d}{d x} (- 2 sec^{2} (x) tan (x))

What is the limit as x approaches-9 of (x^2-3)/(9-x) ?
The limit as x approaches-9 of (x^2-3)/(9-x) is 13/3