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

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

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You have entered [src] 
     / 2 - x\
     |e     |
 lim |------|
x->oo\2 - x /
lim⁡x→∞(e2−x2−x)\lim_{x \to \infty}\left(\frac{e^{2 - x}}{2 - x}\right) 
Limit(exp(2 - x)/(2 - 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
02468-8-6-4-2-101020000-10000
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Rapid solution [src] 
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Other limits x→0, -oo, +oo, 1
lim⁡x→∞(e2−x2−x)=0\lim_{x \to \infty}\left(\frac{e^{2 - x}}{2 - x}\right) = 0
lim⁡x→0−(e2−x2−x)=e22\lim_{x \to 0^-}\left(\frac{e^{2 - x}}{2 - x}\right) = \frac{e^{2}}{2}
More at x→0 from the left
lim⁡x→0+(e2−x2−x)=e22\lim_{x \to 0^+}\left(\frac{e^{2 - x}}{2 - x}\right) = \frac{e^{2}}{2}
More at x→0 from the right
lim⁡x→1−(e2−x2−x)=e\lim_{x \to 1^-}\left(\frac{e^{2 - x}}{2 - x}\right) = e
More at x→1 from the left
lim⁡x→1+(e2−x2−x)=e\lim_{x \to 1^+}\left(\frac{e^{2 - x}}{2 - x}\right) = e
More at x→1 from the right
lim⁡x→−∞(e2−x2−x)=∞\lim_{x \to -\infty}\left(\frac{e^{2 - x}}{2 - x}\right) = \infty
More at x→-oo
The graph
Limit of the function exp(2-x)/(2-x)
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