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

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

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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

t an g e n t 4 x (3 - 2 x)^{5}, at 2

\int arctan (2 y) d y

x \to 0 lim (\frac{1}{x} + \frac{1}{x ^{2}})

n \to 0 lim (ln (n))

\int \frac{x}{x ^{2} + 8} 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