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

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}

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

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

t an g e n t y = x^{2} + 8

(arctan (4 x))^{^{'}}

\int \frac{5 x ^{2}}{4 x - x ^{2}} d x

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