What is the limit as x approaches-3 of (x^2-5)/(3-x) ?

The limit as x approaches-3 of (x^2-5)/(3-x) is 2/3

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limit as x approaches-3 of (x^2-5)/(3-x)

x \to - 3 lim (\frac{x ^{2} - 5}{3 - x})

\frac{2}{3}

Solution steps

x \to - 3 lim (\frac{x ^{2} - 5}{3 - x})

Plug in the value

x = - 3

= \frac{( - 3 ) ^{2} - 5}{3 - ( - 3 )}

Simplify

\frac{( - 3 ) ^{2} - 5}{3 - ( - 3 )} : \frac{2}{3}

= \frac{2}{3}

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What is the limit as x approaches-3 of (x^2-5)/(3-x) ?
The limit as x approaches-3 of (x^2-5)/(3-x) is 2/3