Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of x^(4/x)
-
Limit of (-6+x^2-x)/(-4+x^2)
-
Limit of (-6+x^2-x)/(-21+x+2*x^2)
-
Limit of e^(3-x)*(-2+x)
- Derivative of:
-
x^(1/5)
- Graphing y =:
- x^(1/5)
- Integral of d{x}:
-
x^(1/5)
-
Identical expressions
- x^(one / five)
- x to the power of (1 divide by 5)
- x to the power of (one divide by five)
- x(1/5)
- x1/5
- x^1/5
- x^(1 divide by 5)
-
Similar expressions
- ((-4+3*x)/(2+3*x))^(1/5+x/5)
Limit of the function x^(1/5)
The solution
You have entered
[src]
5 ___ lim \/ x x->oo
$$\lim_{x \to \infty} \sqrt[5]{x}$$
Limit(x^(1/5), 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
$$\lim_{x \to \infty} \sqrt[5]{x} = \infty$$
$$\lim_{x \to 0^-} \sqrt[5]{x} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt[5]{x} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt[5]{x} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt[5]{x} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt[5]{x} = \infty \sqrt[5]{-1}$$
More at x→-oo
$$\lim_{x \to 0^-} \sqrt[5]{x} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt[5]{x} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt[5]{x} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt[5]{x} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt[5]{x} = \infty \sqrt[5]{-1}$$
More at x→-oo
The graph