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

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

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+ln(x)x

x \to 0 + lim (- 1 + ln (x) x)

- 1

Solution steps

x \to 0 + lim (- 1 + ln (x) x)

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

With the exception of indeterminate form

= - x \to 0 + lim (1) + x \to 0 + lim (ln (x) x)

x \to 0 + lim (1) = 1

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

= - 1 + 0

Simplify

= - 1

x \to 0 lim (sin (x) cot (x))

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

x \to \frac{3 π}{4} lim (sin (x))

x \to 0 lim (2 x^{3 x})

x \to 0 lim ((1 - 9 x)^{\frac{5}{x}})

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