Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (1-4*x)^(1/x)
-
Limit of (-16+x^2+6*x)/(-2-5*x+3*x^2)
-
Limit of (1+x)^(2/3)-(-1+x)^(2/3)
-
Limit of 1/3+x/3
- Factor polynomial:
- x^3-4*x
- Graphing y =:
- x^3-4*x
- Integral of d{x}:
- x^3-4*x
-
Identical expressions
- x^ three - four *x
- x cubed minus 4 multiply by x
- x to the power of three minus four multiply by x
- x3-4*x
- x³-4*x
- x to the power of 3-4*x
- x^3-4x
- x3-4x
-
Similar expressions
- x^3+4*x
- (8+x^3-4*x^2)/(4-x^2)
- -6+x^3-4*x^2+2*x
Limit of the function x^3-4*x
The solution
You have entered
[src]
/ 3 \ lim \x - 4*x/ x->0+
$$\lim_{x \to 0^+}\left(x^{3} - 4 x\right)$$
Limit(x^3 - 4*x, x, 0)
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 \x - 4*x/ x->0+
$$\lim_{x \to 0^+}\left(x^{3} - 4 x\right)$$
0
$$0$$
= 4.88092159433412e-31
/ 3 \ lim \x - 4*x/ x->0-
$$\lim_{x \to 0^-}\left(x^{3} - 4 x\right)$$
0
$$0$$
= -4.88092159433412e-31
= -4.88092159433412e-31
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(x^{3} - 4 x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{3} - 4 x\right) = 0$$
$$\lim_{x \to \infty}\left(x^{3} - 4 x\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x^{3} - 4 x\right) = -3$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{3} - 4 x\right) = -3$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{3} - 4 x\right) = -\infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{3} - 4 x\right) = 0$$
$$\lim_{x \to \infty}\left(x^{3} - 4 x\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x^{3} - 4 x\right) = -3$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{3} - 4 x\right) = -3$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{3} - 4 x\right) = -\infty$$
More at x→-oo
The graph