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Limit of the function/ x*y

Limit of the function x*y

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You have entered [src] 
 lim (x*y)
x->oo
lim⁡x→∞(xy)\lim_{x \to \infty}\left(x y\right) 
Limit(x*y, 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
Other limits x→0, -oo, +oo, 1
lim⁡x→∞(xy)=∞sign⁡(y)\lim_{x \to \infty}\left(x y\right) = \infty \operatorname{sign}{\left(y \right)}
lim⁡x→0−(xy)=0\lim_{x \to 0^-}\left(x y\right) = 0
More at x→0 from the left
lim⁡x→0+(xy)=0\lim_{x \to 0^+}\left(x y\right) = 0
More at x→0 from the right
lim⁡x→1−(xy)=y\lim_{x \to 1^-}\left(x y\right) = y
More at x→1 from the left
lim⁡x→1+(xy)=y\lim_{x \to 1^+}\left(x y\right) = y
More at x→1 from the right
lim⁡x→−∞(xy)=−∞sign⁡(y)\lim_{x \to -\infty}\left(x y\right) = - \infty \operatorname{sign}{\left(y \right)}
More at x→-oo
Rapid solution [src] 
oo*sign(y)
∞sign⁡(y)\infty \operatorname{sign}{\left(y \right)}
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