What is the limit as x approaches-5 of (x^2-2)/(5-x) ?

The limit as x approaches-5 of (x^2-2)/(5-x) is 23/10

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limit as x approaches-5 of (x^2-2)/(5-x)

x \to - 5 lim (\frac{x ^{2} - 2}{5 - x})

\frac{23}{10}

Solution steps

x \to - 5 lim (\frac{x ^{2} - 2}{5 - x})

Plug in the value

x = - 5

= \frac{( - 5 ) ^{2} - 2}{5 - ( - 5 )}

Simplify

\frac{( - 5 ) ^{2} - 2}{5 - ( - 5 )} : \frac{23}{10}

= \frac{23}{10}

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What is the limit as x approaches-5 of (x^2-2)/(5-x) ?
The limit as x approaches-5 of (x^2-2)/(5-x) is 23/10