What is the limit as x approaches-6 of (x^2-2)/(6-x) ?

The limit as x approaches-6 of (x^2-2)/(6-x) is 17/6

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limit as x approaches-6 of (x^2-2)/(6-x)

x \to - 6 lim (\frac{x ^{2} - 2}{6 - x})

\frac{17}{6}

Decimal

2.83333 \dots

Solution steps

x \to - 6 lim (\frac{x ^{2} - 2}{6 - x})

Plug in the value

x = - 6

= \frac{( - 6 ) ^{2} - 2}{6 - ( - 6 )}

Simplify

\frac{( - 6 ) ^{2} - 2}{6 - ( - 6 )} : \frac{17}{6}

= \frac{17}{6}

What is the limit as x approaches-6 of (x^2-2)/(6-x) ?
The limit as x approaches-6 of (x^2-2)/(6-x) is 17/6