What is the limit as x approaches 0+of-(2+ln(x))/x ?

The limit as x approaches 0+of-(2+ln(x))/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-(2+ln(x))/x

x \to 0 + lim (- \frac{2 + ln ( x )}{x})

\infty

Solution steps

x \to 0 + lim (- \frac{2 + ln ( x )}{x})

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

= - x \to 0 + lim (\frac{2 + ln ( x )}{x})

\frac{2 + ln ( x )}{x} = (2 + ln (x)) \frac{1}{x}

= - x \to 0 + lim ((2 + ln (x)) \frac{1}{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 (2 + ln (x)) \cdot x \to 0 + lim (\frac{1}{x})

x \to 0 + lim (2 + ln (x)) = - \infty

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

= - (- \infty) \cdot \infty

Apply Infinity Property:

- (- \infty) \infty = \infty

= \infty

\int_{0}^{2} π (8 - x^{3})^{2} d x

x \to - 2 lim (x^{4})

n = 1 \sum \infty (2 n + 1)^{- 6}

9 cos (\frac{2}{5} x)

\int \frac{3 x}{( x ^{2} - 3 ) ^{3}} d x

What is the limit as x approaches 0+of-(2+ln(x))/x ?
The limit as x approaches 0+of-(2+ln(x))/x is infinity