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x*exp(x)
Limit of the function/ x*exp(x)

Limit of the function x*exp(x)

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You have entered [src] 
     /   x\
 lim \x*e /
x->oo
lim⁡x→∞(xex)\lim_{x \to \infty}\left(x e^{x}\right) 
Limit(x*exp(x), 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
02468-8-6-4-2-1010-250000250000
Plot the graph
Other limits x→0, -oo, +oo, 1
lim⁡x→∞(xex)=∞\lim_{x \to \infty}\left(x e^{x}\right) = \infty
lim⁡x→0−(xex)=0\lim_{x \to 0^-}\left(x e^{x}\right) = 0
More at x→0 from the left
lim⁡x→0+(xex)=0\lim_{x \to 0^+}\left(x e^{x}\right) = 0
More at x→0 from the right
lim⁡x→1−(xex)=e\lim_{x \to 1^-}\left(x e^{x}\right) = e
More at x→1 from the left
lim⁡x→1+(xex)=e\lim_{x \to 1^+}\left(x e^{x}\right) = e
More at x→1 from the right
lim⁡x→−∞(xex)=0\lim_{x \to -\infty}\left(x e^{x}\right) = 0
More at x→-oo
Rapid solution [src] 
oo
∞\infty
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Limit of the function x*exp(x)
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