What is the limit as x approaches 0+of 1/x ln(x) ?

The limit as x approaches 0+of 1/x ln(x) is -infinity

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 0+of 1/x ln(x)

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

- \infty

Solution steps

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

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to 0 + lim (\frac{1}{x}) \cdot x \to 0 + lim (ln (x))

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

x \to 0 + lim (ln (x)) = - \infty

= \infty \cdot (- \infty)

Apply Infinity Property:

\infty (- \infty) = - \infty

= - \infty

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

x \to π + lim (\frac{x}{csc ( x )})

x \to a lim (\frac{a - x}{x - a})

x \to 0 + lim (1 + 5 x - x^{3})

x \to - 4 lim ((x + 3)^{1999})

What is the limit as x approaches 0+of 1/x ln(x) ?
The limit as x approaches 0+of 1/x ln(x) is -infinity