What is the limit as x approaches-6 of (x^2-5)/(6-x) ?

The limit as x approaches-6 of (x^2-5)/(6-x) is 31/12

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limit as x approaches-6 of (x^2-5)/(6-x)

x \to - 6 lim (\frac{x ^{2} - 5}{6 - x})

\frac{31}{12}

Decimal Notation

2.58333 \dots

Solution steps

x \to - 6 lim (\frac{x ^{2} - 5}{6 - x})

Plug in the value

x = - 6

= \frac{( - 6 ) ^{2} - 5}{6 - ( - 6 )}

Simplify

\frac{( - 6 ) ^{2} - 5}{6 - ( - 6 )} : \frac{31}{12}

= \frac{31}{12}

t y^{^{'}} + y = t^{2}

\frac{d y}{d x} = \frac{1}{2 x + y + 1}

\int \frac{1}{2 y} d y

\int_{0}^{8} 5 x + 6 - x d x

\frac{d}{d x} (3 x - 7)

What is the limit as x approaches-6 of (x^2-5)/(6-x) ?
The limit as x approaches-6 of (x^2-5)/(6-x) is 31/12