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

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

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

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

\frac{1}{2}

Decimal

0.5

Solution steps

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

Simplify

\frac{1 - x}{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}

x \to - 1 lim (2^{1 + l n ∣ x ∣})

x \to 0 lim (cos (x + 1 + 6^{x}))

n \to \infty lim (2 - \frac{1}{n})

x \to 0 + lim (x cos (\frac{π}{x}))

x \to \infty lim (\frac{1. 1 ^{x}}{x})

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