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Limit of the function:
Limit of n*(1+(1+n)^2)/((1+n)*(1+n^2))
Limit of -2+|-2+x|/x
Limit of (1+x^2+9*x)/(-5+2*x+7*x^2)
Limit of (-16+x^2+6*x)/(-2-5*x+3*x^2)
Derivative of:
x^(4/3)
Graphing y =:
x^(4/3)
Integral of d{x}:
x^(4/3)
Identical expressions
x^(four / three)
x to the power of (4 divide by 3)
x to the power of (four divide by three)
x(4/3)
x4/3
x^4/3
x^(4 divide by 3)
Similar expressions
8+x^3+2*x^4/3
2-x^2-5*x^3+2*x^5-x^4/3
(1-x^2+5*x^4)/(3+x^4)
(8-x+5*x^4)/(3+x^4)
-4*x+2*x^3+5*x^2+x^4/3

Limit of the function/ x^(4/3)

Limit of the function x^(4/3)

The solution

You have entered [src]

      4/3
 lim x   
x->oo

\lim_{x \to \infty} x^{\frac{4}{3}}

Limit(x^(4/3), 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

Rapid solution [src]

oo

\infty

Expand and simplify

Other limits x→0, -oo, +oo, 1

\lim_{x \to \infty} x^{\frac{4}{3}} = \infty

\lim_{x \to 0^-} x^{\frac{4}{3}} = 0

More at x→0 from the left

\lim_{x \to 0^+} x^{\frac{4}{3}} = 0

More at x→0 from the right

\lim_{x \to 1^-} x^{\frac{4}{3}} = 1

More at x→1 from the left

\lim_{x \to 1^+} x^{\frac{4}{3}} = 1

More at x→1 from the right

\lim_{x \to -\infty} x^{\frac{4}{3}} = - \infty \sqrt[3]{-1}

More at x→-oo

The graph

Limit of the function x^(4/3)