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

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

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

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

- \frac{1}{2}

Decimal

- 0.5

Solution steps

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

Plug in the value

x = - 1

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

Simplify

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

= - \frac{1}{2}

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\int (4 x + 1)^{\frac{1}{2}} d x

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\int \frac{4 - 32 x}{81 - 16 x ^{2}} d x

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