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Popular Calculus >

f(x)=e^{1/x}-(e^{1/x})/x

Solution

f (x) = e^{\frac{1}{x}} - \frac{e ^{\frac{1}{x}}}{x}

Solution

Domain : x < 0 or x > 0

Range : f (x) < 1

X Intercepts : (1, 0)

Asymptotes : Vertical x = 0, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, 1)

Solution steps

Domain of

e^{\frac{1}{x}} - \frac{e ^{\frac{1}{x}}}{x} : x < 0 or x > 0

Range of

e^{\frac{1}{x}} - \frac{e ^{\frac{1}{x}}}{x} : f (x) < 1

Axis interception points of

e^{\frac{1}{x}} - \frac{e ^{\frac{1}{x}}}{x} :

X Intercepts

: (1, 0)

Asymptotes of

e^{\frac{1}{x}} - \frac{e ^{\frac{1}{x}}}{x} :

Vertical

: x = 0,

Horizontal

: y = 1

Extreme Points of

e^{\frac{1}{x}} - \frac{e ^{\frac{1}{x}}}{x} :

None

Graph

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Frequently Asked Questions (FAQ)

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