Limit of the function x^(4/x)

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      4
      -
      x
 lim x 
x->oo

\lim_{x \to \infty} x^{\frac{4}{x}}

Limit(x^(4/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{4}{x}} = 1

\lim_{x \to 0^-} x^{\frac{4}{x}} = \infty

\lim_{x \to 0^+} x^{\frac{4}{x}} = 0

\lim_{x \to 1^-} x^{\frac{4}{x}} = 1

\lim_{x \to 1^+} x^{\frac{4}{x}} = 1

\lim_{x \to -\infty} x^{\frac{4}{x}} = 1

Rapid solution [src]

1

Expand and simplify

The graph