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

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

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

\infty

Solution steps

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

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

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

x \to 1 + lim (x) = 1

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

= 1 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

\frac{d y}{d x} = 7 x e^{4 y}

\int x (x - 1)^{8} d x

4 x (3 - 2 x)^{5}, at 2

\int (a + b x)^{n} d x

\int (sin (x)) d x

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