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Limit of the function
:
Limit of (1+2*n)/(-1+3*n)
Limit of -2+x^3+6*x
Limit of (2+x^2-3*x)/(4+x^2-5*x)
Limit of (-15+x^2-2*x)/(-15-7*x+2*x^2)
Derivative of
:
7*x^3
Identical expressions
seven *x^ three
7 multiply by x cubed
seven multiply by x to the power of three
7*x3
7*x³
7*x to the power of 3
7x^3
7x3
Similar expressions
(27+27*x^3)/(1+x^5)
(8+x^3-2*x)/(8-2*x+7*x^3)
(-8+27*x^3)/(-4+9*x^2)
((1+4*x)/(6+7*x))^(3+4*x)
1-x^2-5*x+7*x^3+8*x^4
Limit of the function
/
7*x^3
Limit of the function 7*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 \7*x / x->-1+
$$\lim_{x \to -1^+}\left(7 x^{3}\right)$$
Limit(7*x^3, x, -1)
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 \7*x / x->-1+
$$\lim_{x \to -1^+}\left(7 x^{3}\right)$$
-7
$$-7$$
= -7.0
/ 3\ lim \7*x / x->-1-
$$\lim_{x \to -1^-}\left(7 x^{3}\right)$$
-7
$$-7$$
= -7.0
= -7.0
Rapid solution
[src]
-7
$$-7$$
Expand and simplify
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to -1^-}\left(7 x^{3}\right) = -7$$
More at x→-1 from the left
$$\lim_{x \to -1^+}\left(7 x^{3}\right) = -7$$
$$\lim_{x \to \infty}\left(7 x^{3}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(7 x^{3}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(7 x^{3}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(7 x^{3}\right) = 7$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(7 x^{3}\right) = 7$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(7 x^{3}\right) = -\infty$$
More at x→-oo
Numerical answer
[src]
-7.0
-7.0
The graph