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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

3

Solution steps

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

Plug in the value

x = 2

= \frac{2 ^{2} - 1}{2 - 1}

Simplify

= 3

\int_{- 3}^{3} 9 - x^{2} d x

y^{3} = \frac{d y}{d x} + y

\int_{- 8}^{8} (64 - x^{2}) d x

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

\int \frac{1}{1 + 2 cos ( x )} d x

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