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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
Rapid solution [src] 
-oo
−∞-\infty
Expand and simplify
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
The graph
Limit of the function -x*exp(x)
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