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Limit of the function:
Limit of ((5+6*x)/(-10+x))^(5*x)
Limit of (-2+x)^(-2)
Limit of (sin(x)+tan(x))/(2*x)
Limit of n*(2+n)/(1+n)^2
Derivative of:
x^(1/x)
Graphing y =:
x^(1/x)
Integral of d{x}:
x^(1/x)
Identical expressions
x^(one /x)
x to the power of (1 divide by x)
x to the power of (one divide by x)
x(1/x)
x1/x
x^1/x
x^(1 divide by x)
Similar expressions
(1+cot(x))^(1/(x-pi/2))
((1+x)/(1-2*x))^(1/x)
sin(1/x)^(1/x)
(1+tan(6*x))^(1/x)
((-5+x)/(-5+2*x))^(1/x)

Limit of the function/ x^(1/x)

Limit of the function x^(1/x)

The solution

You have entered [src]

     x ___
 lim \/ x 
x->oo

\lim_{x \to \infty} x^{\frac{1}{x}}

Limit(x^(1/x), x, oo, dir='-')

Lopital's rule

There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type

The graph

Plot the graph

Other limits x→0, -oo, +oo, 1

\lim_{x \to \infty} x^{\frac{1}{x}} = 1

\lim_{x \to 0^-} x^{\frac{1}{x}} = \infty

More at x→0 from the left

\lim_{x \to 0^+} x^{\frac{1}{x}} = 0

More at x→0 from the right

\lim_{x \to 1^-} x^{\frac{1}{x}} = 1

More at x→1 from the left

\lim_{x \to 1^+} x^{\frac{1}{x}} = 1

More at x→1 from the right

\lim_{x \to -\infty} x^{\frac{1}{x}} = 1

More at x→-oo

Rapid solution [src]

1

Expand and simplify

The graph

Limit of the function x^(1/x)