Mister Exam

Other calculators:

e^(x^2)*x^3
Limit of the function/ e^(x^2)*x^3

Limit of the function e^(x^2)*x^3

at →
v

For end points:

The graph:

from to

Piecewise:

The solution

You have entered [src] 
     / / 2\   \
     | \x /  3|
 lim \e    *x /
x->oo
lim⁡x→∞(x3ex2)\lim_{x \to \infty}\left(x^{3} e^{x^{2}}\right) 
Limit(E^(x^2)*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
02468-8-6-4-2-10105e46-3e46
Plot the graph
Rapid solution [src] 
oo
∞\infty
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞(x3ex2)=∞\lim_{x \to \infty}\left(x^{3} e^{x^{2}}\right) = \infty
lim⁡x→0−(x3ex2)=0\lim_{x \to 0^-}\left(x^{3} e^{x^{2}}\right) = 0
More at x→0 from the left
lim⁡x→0+(x3ex2)=0\lim_{x \to 0^+}\left(x^{3} e^{x^{2}}\right) = 0
More at x→0 from the right
lim⁡x→1−(x3ex2)=e\lim_{x \to 1^-}\left(x^{3} e^{x^{2}}\right) = e
More at x→1 from the left
lim⁡x→1+(x3ex2)=e\lim_{x \to 1^+}\left(x^{3} e^{x^{2}}\right) = e
More at x→1 from the right
lim⁡x→−∞(x3ex2)=−∞\lim_{x \to -\infty}\left(x^{3} e^{x^{2}}\right) = -\infty
More at x→-oo
The graph
Limit of the function e^(x^2)*x^3
    © Mister Exam – Calculator