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

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

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 1/(x^2(x-2))

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

x \to - 6 lim (\frac{3}{x + 6})

x \to 0 + lim ((1 - 5 x)^{\frac{5}{x}})

x \to \infty lim (ln (9))

x \to 0 - lim (\frac{1}{x} + x)

x \to 0 - lim (\frac{ln ∣ x ∣}{x})

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