What is the limit as x approaches-9 of (x^2-7)/(9-x) ?

The limit as x approaches-9 of (x^2-7)/(9-x) is 37/9

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limit as x approaches-9 of (x^2-7)/(9-x)

x \to - 9 lim (\frac{x ^{2} - 7}{9 - x})

\frac{37}{9}

Decimal Notation

4.11111 \dots

Solution steps

x \to - 9 lim (\frac{x ^{2} - 7}{9 - x})

Plug in the value

x = - 9

= \frac{( - 9 ) ^{2} - 7}{9 - ( - 9 )}

Simplify

\frac{( - 9 ) ^{2} - 7}{9 - ( - 9 )} : \frac{37}{9}

= \frac{37}{9}

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What is the limit as x approaches-9 of (x^2-7)/(9-x) ?
The limit as x approaches-9 of (x^2-7)/(9-x) is 37/9