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

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

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

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

- \frac{1}{2}

Decimal

- 0.5

Solution steps

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

Simplify

\frac{x - 1}{1 - x ^{2}} : - \frac{1}{x + 1}

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

Plug in the value

x = 1

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

Simplify

= - \frac{1}{2}

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