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Limit of the function
:
Limit of sin(3*x)/(1-cos(2*x))
Limit of (1/4)^x
Limit of (5+2*n)/(1+2*n)
Limit of (-2+x)*cot(pi*x)
The double integral of
:
5*x^3
Derivative of
:
5*x^3
Integral of d{x}
:
5*x^3
Identical expressions
five *x^ three
5 multiply by x cubed
five multiply by x to the power of three
5*x3
5*x³
5*x to the power of 3
5x^3
5x3
Similar expressions
-cos(5*x)^3/x^2+cos(5*x)
(x^5-x)/(1+x^4-x^2+5*x^3)
Limit of the function
/
5*x^3
Limit of the function 5*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 \5*x / x->-2+
lim
x
→
−
2
+
(
5
x
3
)
\lim_{x \to -2^+}\left(5 x^{3}\right)
x
→
−
2
+
lim
(
5
x
3
)
Limit(5*x^3, x, -2)
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
-4.0
-3.0
-2.0
-1.0
4.0
0.0
1.0
2.0
3.0
-500
500
Plot the graph
Rapid solution
[src]
-40
−
40
-40
−
40
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim
x
→
−
2
−
(
5
x
3
)
=
−
40
\lim_{x \to -2^-}\left(5 x^{3}\right) = -40
x
→
−
2
−
lim
(
5
x
3
)
=
−
40
More at x→-2 from the left
lim
x
→
−
2
+
(
5
x
3
)
=
−
40
\lim_{x \to -2^+}\left(5 x^{3}\right) = -40
x
→
−
2
+
lim
(
5
x
3
)
=
−
40
lim
x
→
∞
(
5
x
3
)
=
∞
\lim_{x \to \infty}\left(5 x^{3}\right) = \infty
x
→
∞
lim
(
5
x
3
)
=
∞
More at x→oo
lim
x
→
0
−
(
5
x
3
)
=
0
\lim_{x \to 0^-}\left(5 x^{3}\right) = 0
x
→
0
−
lim
(
5
x
3
)
=
0
More at x→0 from the left
lim
x
→
0
+
(
5
x
3
)
=
0
\lim_{x \to 0^+}\left(5 x^{3}\right) = 0
x
→
0
+
lim
(
5
x
3
)
=
0
More at x→0 from the right
lim
x
→
1
−
(
5
x
3
)
=
5
\lim_{x \to 1^-}\left(5 x^{3}\right) = 5
x
→
1
−
lim
(
5
x
3
)
=
5
More at x→1 from the left
lim
x
→
1
+
(
5
x
3
)
=
5
\lim_{x \to 1^+}\left(5 x^{3}\right) = 5
x
→
1
+
lim
(
5
x
3
)
=
5
More at x→1 from the right
lim
x
→
−
∞
(
5
x
3
)
=
−
∞
\lim_{x \to -\infty}\left(5 x^{3}\right) = -\infty
x
→
−
∞
lim
(
5
x
3
)
=
−
∞
More at x→-oo
One‐sided limits
[src]
/ 3\ lim \5*x / x->-2+
lim
x
→
−
2
+
(
5
x
3
)
\lim_{x \to -2^+}\left(5 x^{3}\right)
x
→
−
2
+
lim
(
5
x
3
)
-40
−
40
-40
−
40
= -40.0
/ 3\ lim \5*x / x->-2-
lim
x
→
−
2
−
(
5
x
3
)
\lim_{x \to -2^-}\left(5 x^{3}\right)
x
→
−
2
−
lim
(
5
x
3
)
-40
−
40
-40
−
40
= -40.0
= -40.0
Numerical answer
[src]
-40.0
-40.0
The graph