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e^(-x)/sqrt(x)
Limit of the function/ e^(-x)/sqrt(x)

Limit of the function e^(-x)/sqrt(x)

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You have entered [src] 
     /  -x \
     | e   |
 lim |-----|
x->oo|  ___|
     \\/ x /
lim⁡x→∞(e−xx)\lim_{x \to \infty}\left(\frac{e^{- x}}{\sqrt{x}}\right) 
Limit(1/(E^x*(sqrt(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
02468-8-6-4-2-101005
Plot the graph
Other limits x→0, -oo, +oo, 1
lim⁡x→∞(e−xx)=0\lim_{x \to \infty}\left(\frac{e^{- x}}{\sqrt{x}}\right) = 0
lim⁡x→0−(e−xx)=−∞i\lim_{x \to 0^-}\left(\frac{e^{- x}}{\sqrt{x}}\right) = - \infty i
More at x→0 from the left
lim⁡x→0+(e−xx)=∞\lim_{x \to 0^+}\left(\frac{e^{- x}}{\sqrt{x}}\right) = \infty
More at x→0 from the right
lim⁡x→1−(e−xx)=e−1\lim_{x \to 1^-}\left(\frac{e^{- x}}{\sqrt{x}}\right) = e^{-1}
More at x→1 from the left
lim⁡x→1+(e−xx)=e−1\lim_{x \to 1^+}\left(\frac{e^{- x}}{\sqrt{x}}\right) = e^{-1}
More at x→1 from the right
lim⁡x→−∞(e−xx)=−∞i\lim_{x \to -\infty}\left(\frac{e^{- x}}{\sqrt{x}}\right) = - \infty i
More at x→-oo
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Limit of the function e^(-x)/sqrt(x)
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