What is the limit as x approaches 0+of (x^3)/(ln(x)) ?

The limit as x approaches 0+of (x^3)/(ln(x)) 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 0+of (x^3)/(ln(x))

x \to 0 + lim (\frac{x ^{3}}{ln ( x )})

0

Solution steps

x \to 0 + lim (\frac{x ^{3}}{ln ( x )})

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

With the exception of indeterminate form

= \frac{lim _{x \to 0 +} ( x ^{3} )}{lim _{x \to 0 +} ( ln ( x ) )}

x \to 0 + lim (x^{3}) = 0

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

= \frac{0}{- \infty}

Apply Infinity Property:

\frac{0}{- \infty} = 0

= 0

t \cdot e^{- 3 t}

\frac{\partial}{\partial x} (- 2 x sin (x^{2} + y^{2}))

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

\int_{a}^{b} \frac{1}{b - a} x d x

\int (e^{x} - 2 x^{2}) d x

What is the limit as x approaches 0+of (x^3)/(ln(x)) ?
The limit as x approaches 0+of (x^3)/(ln(x)) is 0