What is the limit as x approaches 6 of 4/(x-6) ?

The limit as x approaches 6 of 4/(x-6) is diverges

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches 6 of 4/(x-6)

x \to 6 lim (\frac{4}{x - 6})

diverges

Solution steps

x \to 6 lim (\frac{4}{x - 6})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 6 + lim (\frac{4}{x - 6}) = \infty

x \to 6 - lim (\frac{4}{x - 6}) = - \infty

= diverges

What is the limit as x approaches 6 of 4/(x-6) ?
The limit as x approaches 6 of 4/(x-6) is diverges