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

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

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

- 2

Solution steps

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

Simplify

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

= x \to 1 lim (- x - 1)

Plug in the value

x = 1

= - 1 - 1

Simplify

= - 2

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