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Popular Functions >

f(n)=n^{1/n}

Solution

f (n) = n^{\frac{1}{n}}

Solution

Domain : n < 0 or n > 0

Intercepts : None

Asymptotes : Horizontal y = 1

Extreme Points : Maximum (e, e^{\frac{1}{e}})

+1

Interval Notation

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

Solution steps

Domain of

n^{\frac{1}{n}} : n < 0 or n > 0

Axis interception points of

n^{\frac{1}{n}} :

None

Asymptotes of

n^{\frac{1}{n}} :

Horizontal

: y = 1

Extreme Points of

n^{\frac{1}{n}} :

Maximum

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

Graph

Popular Examples

f(x)=x^4+cos(x)+1

f(n)=20n^2-60n-35

Frequently Asked Questions (FAQ)

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