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x*sqrt(3-x)
Limit of the function/ x*sqrt(3-x)

Limit of the function x*sqrt(3-x)

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You have entered [src] 
      /    _______\
 lim  \x*\/ 3 - x /
x->-oo
lim⁡x→−∞(x3−x)\lim_{x \to -\infty}\left(x \sqrt{3 - x}\right) 
Limit(x*sqrt(3 - 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
02468-8-6-4-2-1010-5050
Plot the graph
Rapid solution [src] 
-oo
−∞-\infty
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→−∞(x3−x)=−∞\lim_{x \to -\infty}\left(x \sqrt{3 - x}\right) = -\infty
lim⁡x→∞(x3−x)=∞i\lim_{x \to \infty}\left(x \sqrt{3 - x}\right) = \infty i
More at x→oo
lim⁡x→0−(x3−x)=0\lim_{x \to 0^-}\left(x \sqrt{3 - x}\right) = 0
More at x→0 from the left
lim⁡x→0+(x3−x)=0\lim_{x \to 0^+}\left(x \sqrt{3 - x}\right) = 0
More at x→0 from the right
lim⁡x→1−(x3−x)=2\lim_{x \to 1^-}\left(x \sqrt{3 - x}\right) = \sqrt{2}
More at x→1 from the left
lim⁡x→1+(x3−x)=2\lim_{x \to 1^+}\left(x \sqrt{3 - x}\right) = \sqrt{2}
More at x→1 from the right
The graph
Limit of the function x*sqrt(3-x)
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