What is the limit as x approaches-6 of (x^2-1)/(6-x) ?

The limit as x approaches-6 of (x^2-1)/(6-x) is 35/12

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limit as x approaches-6 of (x^2-1)/(6-x)

x \to - 6 lim (\frac{x ^{2} - 1}{6 - x})

\frac{35}{12}

Decimal Notation

2.91666 \dots

Solution steps

x \to - 6 lim (\frac{x ^{2} - 1}{6 - x})

Plug in the value

x = - 6

= \frac{( - 6 ) ^{2} - 1}{6 - ( - 6 )}

Simplify

\frac{( - 6 ) ^{2} - 1}{6 - ( - 6 )} : \frac{35}{12}

= \frac{35}{12}

\frac{d}{d x} (\frac{e ^{3 x^{2}}}{5 x})

\int \frac{sin ^{7} ( 10 x )}{cos ^{4} ( 10 x )} d x

\frac{\partial}{\partial y} (f (x, y) (x + y))

f (x) = x + 13

What is the limit as x approaches-6 of (x^2-1)/(6-x) ?
The limit as x approaches-6 of (x^2-1)/(6-x) is 35/12