What is the limit as x approaches-6 of (x^2-7)/(6-x) ?

The limit as x approaches-6 of (x^2-7)/(6-x) is 29/12

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limit as x approaches-6 of (x^2-7)/(6-x)

x \to - 6 lim (\frac{x ^{2} - 7}{6 - x})

\frac{29}{12}

Decimal Notation

2.41666 \dots

Solution steps

x \to - 6 lim (\frac{x ^{2} - 7}{6 - x})

Plug in the value

x = - 6

= \frac{( - 6 ) ^{2} - 7}{6 - ( - 6 )}

Simplify

\frac{( - 6 ) ^{2} - 7}{6 - ( - 6 )} : \frac{29}{12}

= \frac{29}{12}

\int_{0}^{0.5} 12 x - \frac{1}{12} x d x

\frac{\partial}{\partial x} (800 - 0.001 x^{2} - x y)

x \cdot 3^{x}

\frac{3 s}{s ^{2} - 2 s + 2}

\int \frac{x}{( 4 + x y ) ^{2}} d y

What is the limit as x approaches-6 of (x^2-7)/(6-x) ?
The limit as x approaches-6 of (x^2-7)/(6-x) is 29/12