Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (1+3*x)^(5/x)
-
Limit of x^2/(-2+sqrt(4+x^2))
-
Limit of ((5+x^2-6*x)/(5+x^2-5*x))^(2+3*x)
-
Limit of (2+x^2+3*x)/(-4+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
- 1-7*x+2*x^2+3*x^3+x^4/3
- (8-x+5*x^4)/(3+x^4)
- -4*x+2*x^3+5*x^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)
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
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
$$\lim_{x \to 0^-} x^{\frac{4}{3}} = 0$$
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