What is the limit as x approaches-1 of (x^2-5)/(1-x) ?

The limit as x approaches-1 of (x^2-5)/(1-x) is -2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches-1 of (x^2-5)/(1-x)

x \to - 1 lim (\frac{x ^{2} - 5}{1 - x})

- 2

Solution steps

x \to - 1 lim (\frac{x ^{2} - 5}{1 - x})

Plug in the value

x = - 1

= \frac{( - 1 ) ^{2} - 5}{1 - ( - 1 )}

Simplify

\frac{( - 1 ) ^{2} - 5}{1 - ( - 1 )} : - 2

= - 2

\frac{d}{d x} (arctan (x - x^{2} + 1))

\int (1 + sin (x))^{2} d x

(x^{2} + y^{2} + x) d x + x y d y = 0

\int \frac{y}{y ^{3} - 1} d y

\int x e^{- 2 y} d x

What is the limit as x approaches-1 of (x^2-5)/(1-x) ?
The limit as x approaches-1 of (x^2-5)/(1-x) is -2