What is the limit as x approaches-1 of (x^2-4)/(1-x) ?

The limit as x approaches-1 of (x^2-4)/(1-x) is -3/2

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 (x^2-4)/(1-x)

x \to - 1 lim (\frac{x ^{2} - 4}{1 - x})

- \frac{3}{2}

Decimal

- 1.5

Solution steps

x \to - 1 lim (\frac{x ^{2} - 4}{1 - x})

Plug in the value

x = - 1

= \frac{( - 1 ) ^{2} - 4}{1 - ( - 1 )}

Simplify

\frac{( - 1 ) ^{2} - 4}{1 - ( - 1 )} : - \frac{3}{2}

= - \frac{3}{2}

What is the limit as x approaches-1 of (x^2-4)/(1-x) ?
The limit as x approaches-1 of (x^2-4)/(1-x) is -3/2