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

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

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

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

- 1

Solution steps

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

Plug in the value

x = - 2

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

Simplify

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

= - 1

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