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e^(-n)

Limit of the function e^(-n)

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The solution

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      -n
 lim E  
n->oo   
limnen\lim_{n \to \infty} e^{- n}
Limit(E^(-n), n, 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
Other limits n→0, -oo, +oo, 1
limnen=0\lim_{n \to \infty} e^{- n} = 0
limn0en=1\lim_{n \to 0^-} e^{- n} = 1
More at n→0 from the left
limn0+en=1\lim_{n \to 0^+} e^{- n} = 1
More at n→0 from the right
limn1en=e1\lim_{n \to 1^-} e^{- n} = e^{-1}
More at n→1 from the left
limn1+en=e1\lim_{n \to 1^+} e^{- n} = e^{-1}
More at n→1 from the right
limnen=\lim_{n \to -\infty} e^{- n} = \infty
More at n→-oo
Rapid solution [src]
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The graph
Limit of the function e^(-n)