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Popular Calculus >

f(x)=ln(1+1/x)

Solution

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

Solution

Domain : x < - 1 or x > 0

Range : f (x) < 0 or f (x) > 0

Intercepts : None

Asymptotes : Vertical x = - 1, x = 0, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

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

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

ln (1 + \frac{1}{x}) :

None

Asymptotes of

ln (1 + \frac{1}{x}) :

Vertical

: x = - 1, x = 0,

Horizontal

: y = 0

Extreme Points of

ln (1 + \frac{1}{x}) :

None

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=ln(1+1/x) ?
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