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Limit of the function/ x^(1/4)

Limit of the function x^(1/4)

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     4 ___
 lim \/ x 
x->oo

\lim_{x \to \infty} \sqrt[4]{x}

Limit(x^(1/4), 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

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Rapid solution [src]

oo

\infty

Expand and simplify

Other limits x→0, -oo, +oo, 1

\lim_{x \to \infty} \sqrt[4]{x} = \infty

\lim_{x \to 0^-} \sqrt[4]{x} = 0

\lim_{x \to 0^+} \sqrt[4]{x} = 0

\lim_{x \to 1^-} \sqrt[4]{x} = 1

\lim_{x \to 1^+} \sqrt[4]{x} = 1

\lim_{x \to -\infty} \sqrt[4]{x} = \infty \sqrt[4]{-1}

The graph