What is the f(x)= x/(ln(x)) ?

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f(x)= x/(ln(x))

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

Domain : 0 < x < 1 or x > 1

Range : f (x) < 0 or f (x) \geq e

Intercepts : None

Asymptotes : Vertical x = 1

Extreme Points : Minimum (e, e)

Interval Notation

Domain : (0, 1) \cup (1, \infty)

Range : (- \infty, 0) \cup [e, \infty)

Solution steps

Domain of

\frac{x}{ln ( x )} : 0 < x < 1 or x > 1

Range of

\frac{x}{ln ( x )} : f (x) < 0 or f (x) \geq e

Axis interception points of

\frac{x}{ln ( x )} :

None

Asymptotes of

\frac{x}{ln ( x )} :

Vertical

: x = 1

Extreme Points of

\frac{x}{ln ( x )} :

Minimum

(e, e)

n = 0 \sum \infty \frac{1}{n + 3 ^{n}}

(0.5) (10)

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