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Popular >

f(x)=(1+x)^{1/x}

Solution

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

Solution

Domain : - 1 < x < 0 or x > 0

Range : 1 < f (x) < e or f (x) > e

Intercepts : None

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

Extreme Points : None

+1

Solution steps

Domain of

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

Range of

(1 + x)^{\frac{1}{x}} : 1 < f (x) < e or f (x) > e

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = - 1,

Horizontal

: y = 1

Extreme Points of

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

None

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Frequently Asked Questions (FAQ)

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