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

The limit as x approaches 2 of (x-2)/(x^2-2) is 0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

0

Solution steps

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

Plug in the value

x = 2

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

Simplify

= 0

x \to - 3 lim (4 x^{2} - 3 x + 1)

x \to 3 lim (\frac{2 x - 8}{x + 4})

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

x \to 2 + lim (- \frac{16 x}{x - 2})

n \to 1 lim (cos (\frac{π}{n + 1}))

What is the limit as x approaches 2 of (x-2)/(x^2-2) ?
The limit as x approaches 2 of (x-2)/(x^2-2) is 0