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Limit of the function
:
Limit of x^2/(3+x^3-4*x)
Limit of (-12+x^2+4*x)/(-4+x^2)
Limit of (-10+x^2+3*x)/(16+x^2-10*x)
Limit of (6+x^2+2*x)/(-1+3*x^2+7*x)
Derivative of
:
e^x*x^3
Graphing y =
:
e^x*x^3
Identical expressions
e^x*x^ three
e to the power of x multiply by x cubed
e to the power of x multiply by x to the power of three
ex*x3
e^x*x³
e to the power of x*x to the power of 3
e^xx^3
exx3
Limit of the function
/
e^x*x^3
Limit of the function e^x*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]
/ x 3\ lim \E *x / x->oo
lim
x
→
∞
(
e
x
x
3
)
\lim_{x \to \infty}\left(e^{x} x^{3}\right)
x
→
∞
lim
(
e
x
x
3
)
Limit(E^x*x^3, x, oo, dir='-')
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
0
2
4
6
8
-8
-6
-4
-2
-10
10
-25000000
25000000
Plot the graph
Other limits x→0, -oo, +oo, 1
lim
x
→
∞
(
e
x
x
3
)
=
∞
\lim_{x \to \infty}\left(e^{x} x^{3}\right) = \infty
x
→
∞
lim
(
e
x
x
3
)
=
∞
lim
x
→
0
−
(
e
x
x
3
)
=
0
\lim_{x \to 0^-}\left(e^{x} x^{3}\right) = 0
x
→
0
−
lim
(
e
x
x
3
)
=
0
More at x→0 from the left
lim
x
→
0
+
(
e
x
x
3
)
=
0
\lim_{x \to 0^+}\left(e^{x} x^{3}\right) = 0
x
→
0
+
lim
(
e
x
x
3
)
=
0
More at x→0 from the right
lim
x
→
1
−
(
e
x
x
3
)
=
e
\lim_{x \to 1^-}\left(e^{x} x^{3}\right) = e
x
→
1
−
lim
(
e
x
x
3
)
=
e
More at x→1 from the left
lim
x
→
1
+
(
e
x
x
3
)
=
e
\lim_{x \to 1^+}\left(e^{x} x^{3}\right) = e
x
→
1
+
lim
(
e
x
x
3
)
=
e
More at x→1 from the right
lim
x
→
−
∞
(
e
x
x
3
)
=
0
\lim_{x \to -\infty}\left(e^{x} x^{3}\right) = 0
x
→
−
∞
lim
(
e
x
x
3
)
=
0
More at x→-oo
Rapid solution
[src]
oo
∞
\infty
∞
Expand and simplify
The graph