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

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

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

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

- \frac{1}{2}

Decimal

- 0.5

Solution steps

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

Plug in the value

x = - 1

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

Simplify

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

= - \frac{1}{2}

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