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

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

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

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

- \frac{1}{2}

Decimal Notation

- 0.5

Solution steps

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

Plug in the value

x = - 2

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

Simplify

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

= - \frac{1}{2}

\frac{1}{s ^{3} + s ^{2}}

3^{1 - 2 n}

\frac{\partial}{\partial x} (3 x y - x^{2} y^{2} + 23)

\frac{d y}{d x} = \frac{x}{e ^{y}}

3 x^{2} - 2

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