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exp(-x^2)/x
Limit of the function/ exp(-x^2)/x

Limit of the function exp(-x^2)/x

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You have entered [src] 
      /   2\
      | -x |
      |e   |
 lim  |----|
x->-oo\ x  /
lim⁡x→−∞(e−x2x)\lim_{x \to -\infty}\left(\frac{e^{- x^{2}}}{x}\right) 
Limit(exp(-x^2)/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
The graph
02468-8-6-4-2-1010-2020
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Rapid solution [src] 
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Other limits x→0, -oo, +oo, 1
lim⁡x→−∞(e−x2x)=0\lim_{x \to -\infty}\left(\frac{e^{- x^{2}}}{x}\right) = 0
lim⁡x→∞(e−x2x)=0\lim_{x \to \infty}\left(\frac{e^{- x^{2}}}{x}\right) = 0
More at x→oo
lim⁡x→0−(e−x2x)=−∞\lim_{x \to 0^-}\left(\frac{e^{- x^{2}}}{x}\right) = -\infty
More at x→0 from the left
lim⁡x→0+(e−x2x)=∞\lim_{x \to 0^+}\left(\frac{e^{- x^{2}}}{x}\right) = \infty
More at x→0 from the right
lim⁡x→1−(e−x2x)=e−1\lim_{x \to 1^-}\left(\frac{e^{- x^{2}}}{x}\right) = e^{-1}
More at x→1 from the left
lim⁡x→1+(e−x2x)=e−1\lim_{x \to 1^+}\left(\frac{e^{- x^{2}}}{x}\right) = e^{-1}
More at x→1 from the right
The graph
Limit of the function exp(-x^2)/x
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