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

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      /    -x\
 lim  \-x*e  /
x->-oo

\lim_{x \to -\infty}\left(- x e^{- x}\right)

Limit((-x)*exp(-x), x, -oo)

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

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Rapid solution [src]

oo

\infty

Expand and simplify

Other limits x→0, -oo, +oo, 1

\lim_{x \to -\infty}\left(- x e^{- x}\right) = \infty

\lim_{x \to \infty}\left(- x e^{- x}\right) = 0

\lim_{x \to 0^-}\left(- x e^{- x}\right) = 0

\lim_{x \to 0^+}\left(- x e^{- x}\right) = 0

\lim_{x \to 1^-}\left(- x e^{- x}\right) = - \frac{1}{e}

\lim_{x \to 1^+}\left(- x e^{- x}\right) = - \frac{1}{e}

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