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:
-
2*x^3
- Integral of d{x}:
-
2*x^3
- 2*x^3
-
Identical expressions
- two *x^ three
- 2 multiply by x cubed
- two multiply by x to the power of three
- 2*x3
- 2*x³
- 2*x to the power of 3
- 2x^3
- 2x3
-
Similar expressions
- x+2*x^3+5*x^4-x^2/3
- 1-x^2+2*x^3
- cos(2*x)^(3*x/2)
- (x^2-8*x)/(3-2*x^3+3*x^2)
- e^(x^2)*x^3
Limit of the function 2*x^3
The solution
You have entered
[src]
/ 3\ lim \2*x / x->3+
$$\lim_{x \to 3^+}\left(2 x^{3}\right)$$
Limit(2*x^3, x, 3)
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
One‐sided limits
[src]
/ 3\ lim \2*x / x->3+
$$\lim_{x \to 3^+}\left(2 x^{3}\right)$$
54
$$54$$
= 54.0
/ 3\ lim \2*x / x->3-
$$\lim_{x \to 3^-}\left(2 x^{3}\right)$$
54
$$54$$
= 54.0
= 54.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 3^-}\left(2 x^{3}\right) = 54$$
More at x→3 from the left
$$\lim_{x \to 3^+}\left(2 x^{3}\right) = 54$$
$$\lim_{x \to \infty}\left(2 x^{3}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(2 x^{3}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 x^{3}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 x^{3}\right) = 2$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 x^{3}\right) = 2$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2 x^{3}\right) = -\infty$$
More at x→-oo
More at x→3 from the left
$$\lim_{x \to 3^+}\left(2 x^{3}\right) = 54$$
$$\lim_{x \to \infty}\left(2 x^{3}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(2 x^{3}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 x^{3}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 x^{3}\right) = 2$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 x^{3}\right) = 2$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2 x^{3}\right) = -\infty$$
More at x→-oo
The graph