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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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}

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