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

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

x \to 3 lim (\frac{1}{( x - 3 ) ^{3}})

diverges

Solution steps

x \to 3 lim (\frac{1}{( x - 3 ) ^{3}})

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

then the limit does not exist

x \to 3 + lim (\frac{1}{( x - 3 ) ^{3}}) = \infty

x \to 3 - lim (\frac{1}{( x - 3 ) ^{3}}) = - \infty

= diverges

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