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

Limit of the function exp(-x)

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The solution

You have entered [src] 
      -x
 lim e  
x->oo
lim⁡x→∞e−x\lim_{x \to \infty} e^{- x} 
Limit(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
02468-8-6-4-2-1010020000
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Rapid solution [src] 
0
00
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞e−x=0\lim_{x \to \infty} e^{- x} = 0
lim⁡x→0−e−x=1\lim_{x \to 0^-} e^{- x} = 1
More at x→0 from the left
lim⁡x→0+e−x=1\lim_{x \to 0^+} e^{- x} = 1
More at x→0 from the right
lim⁡x→1−e−x=e−1\lim_{x \to 1^-} e^{- x} = e^{-1}
More at x→1 from the left
lim⁡x→1+e−x=e−1\lim_{x \to 1^+} e^{- x} = e^{-1}
More at x→1 from the right
lim⁡x→−∞e−x=∞\lim_{x \to -\infty} e^{- x} = \infty
More at x→-oo
The graph
Limit of the function exp(-x)
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