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

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

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

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

- \frac{1}{2}

Decimal Notation

- 0.5

Solution steps

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

Plug in the value

x = - 1

= \frac{1}{- 1 - 1}

Simplify

= - \frac{1}{2}

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