Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (-2+x)/(-2+x^2-x)
-
Limit of cos(5*x)*sin(2*x)/tan(x)
-
Limit of 3*sin(x)^2/(4*x)
-
Limit of log(1+e^x)
- Derivative of:
-
x^(3/2)
- Integral of d{x}:
-
x^(3/2)
- Graphing y =:
- x^(3/2)
-
Identical expressions
- x^(three / two)
- x to the power of (3 divide by 2)
- x to the power of (three divide by two)
- x(3/2)
- x3/2
- x^3/2
- x^(3 divide by 2)
-
Similar expressions
- -5+4*x-x^3/2
- x^((3/2)^x)
- 6-sqrt(3)*x^(3/2)/3
- 4+x^2+2*x-x^3/2
- (x+x^3)/(2+x^5-4*x^2)
Limit of the function x^(3/2)
The solution
You have entered
[src]
3/2 lim x x->oo
$$\lim_{x \to \infty} x^{\frac{3}{2}}$$
Limit(x^(3/2), 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
$$\lim_{x \to \infty} x^{\frac{3}{2}} = \infty$$
$$\lim_{x \to 0^-} x^{\frac{3}{2}} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} x^{\frac{3}{2}} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} x^{\frac{3}{2}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{\frac{3}{2}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x^{\frac{3}{2}} = - \infty i$$
More at x→-oo
$$\lim_{x \to 0^-} x^{\frac{3}{2}} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} x^{\frac{3}{2}} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} x^{\frac{3}{2}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{\frac{3}{2}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x^{\frac{3}{2}} = - \infty i$$
More at x→-oo
The graph