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Limit of the function
:
Limit of 10+x^2+3*x^3+8*x
Limit of (-2+sqrt(x))/(-4+x^2)
Limit of x+2*x^3+5*x^4-x^2/3
Limit of (-x^3+2*x+5*x^4)/(1+x^4-8*x^3)
Graphing y =
:
-4*x^3
Derivative of
:
-4*x^3
Identical expressions
- four *x^ three
minus 4 multiply by x cubed
minus four multiply by x to the power of three
-4*x3
-4*x³
-4*x to the power of 3
-4x^3
-4x3
Similar expressions
4*x^3
(-1-4*x^3+4*e^(x^3))/x^6
2+x-4*x^3
-x+(1-4*x)^3/(5-4*x)^3
Limit of the function
/
-4*x^3
Limit of the function -4*x^3
at
→
Calculate the limit!
v
For end points:
---------
From the left (x0-)
From the right (x0+)
The graph:
from
to
Piecewise:
{
enter the piecewise function here
The solution
You have entered
[src]
/ 3\ lim \-4*x / x->-5+
$$\lim_{x \to -5^+}\left(- 4 x^{3}\right)$$
Limit(-4*x^3, x, -5)
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
Plot the graph
One‐sided limits
[src]
/ 3\ lim \-4*x / x->-5+
$$\lim_{x \to -5^+}\left(- 4 x^{3}\right)$$
500
$$500$$
= 500.0
/ 3\ lim \-4*x / x->-5-
$$\lim_{x \to -5^-}\left(- 4 x^{3}\right)$$
500
$$500$$
= 500.0
= 500.0
Rapid solution
[src]
500
$$500$$
Expand and simplify
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to -5^-}\left(- 4 x^{3}\right) = 500$$
More at x→-5 from the left
$$\lim_{x \to -5^+}\left(- 4 x^{3}\right) = 500$$
$$\lim_{x \to \infty}\left(- 4 x^{3}\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(- 4 x^{3}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- 4 x^{3}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(- 4 x^{3}\right) = -4$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- 4 x^{3}\right) = -4$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- 4 x^{3}\right) = \infty$$
More at x→-oo
Numerical answer
[src]
500.0
500.0
The graph