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

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

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The solution

You have entered [src] 
     /   / 2\\
     |   \x /|
 lim \x*E    /
x->oo
lim⁡x→∞(ex2x)\lim_{x \to \infty}\left(e^{x^{2}} x\right) 
Limit(x*E^(x^2), 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
02468-8-6-4-2-10105e44-3e44
Plot the graph
Rapid solution [src] 
oo
∞\infty
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞(ex2x)=∞\lim_{x \to \infty}\left(e^{x^{2}} x\right) = \infty
lim⁡x→0−(ex2x)=0\lim_{x \to 0^-}\left(e^{x^{2}} x\right) = 0
More at x→0 from the left
lim⁡x→0+(ex2x)=0\lim_{x \to 0^+}\left(e^{x^{2}} x\right) = 0
More at x→0 from the right
lim⁡x→1−(ex2x)=e\lim_{x \to 1^-}\left(e^{x^{2}} x\right) = e
More at x→1 from the left
lim⁡x→1+(ex2x)=e\lim_{x \to 1^+}\left(e^{x^{2}} x\right) = e
More at x→1 from the right
lim⁡x→−∞(ex2x)=−∞\lim_{x \to -\infty}\left(e^{x^{2}} x\right) = -\infty
More at x→-oo
The graph
Limit of the function x*e^(x^2)
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