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 Notation

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}

\frac{d y}{d x} = y (10 - y) - 9

\frac{d}{d x} (\frac{e ^{- x}}{1 + e ^{- x}})

y = ln (x^{2} + 1)

\frac{d r}{d s} = e^{r - 2 s}

\int \frac{16}{x ^{3} + 4 x} d x

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