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Popular >

f(z)=(e^{1/z})/z

Solution

f (z) = \frac{e ^{\frac{1}{z}}}{z}

Solution

Domain : z < 0 or z > 0

Range : - \frac{1}{e} \leq f (z) < 0 or f (z) > 0

Intercepts : None

Asymptotes : Vertical z = 0, Horizontal y = 0

Extreme Points : Minimum (- 1, - \frac{1}{e})

+1

Interval Notation

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

Range : [- \frac{1}{e}, 0) \cup (0, \infty)

Solution steps

Domain of

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

Range of

\frac{e ^{\frac{1}{z}}}{z} : - \frac{1}{e} \leq f (z) < 0 or f (z) > 0

Axis interception points of

\frac{e ^{\frac{1}{z}}}{z} :

None

Asymptotes of

\frac{e ^{\frac{1}{z}}}{z} :

Vertical

: z = 0,

Horizontal

: y = 0

Extreme Points of

\frac{e ^{\frac{1}{z}}}{z} :

Minimum

(- 1, - \frac{1}{e})

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Frequently Asked Questions (FAQ)

What is the f(z)=(e^{1/z})/z ?
The f(z)=(e^{1/z})/z is