Limit of the function -e^(-x)

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     /  -x\
 lim \-E  /
x->oo

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

Limit(-E^(-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

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Rapid solution [src]

0

Expand and simplify

Other limits x→0, -oo, +oo, 1

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

\lim_{x \to 0^-}\left(- e^{- x}\right) = -1

\lim_{x \to 0^+}\left(- e^{- x}\right) = -1

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

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

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

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