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x*sin(x)^2
Limit of the function/ x*sin(x)^2

Limit of the function x*sin(x)^2

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 lim \x*sin (x)/
x->oo
lim⁡x→∞(xsin⁡2(x))\lim_{x \to \infty}\left(x \sin^{2}{\left(x \right)}\right) 
Limit(x*sin(x)^2, 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
02468-8-6-4-2-1010-2020
Plot the graph
Other limits x→0, -oo, +oo, 1
lim⁡x→∞(xsin⁡2(x))=∞sign⁡(⟨0,1⟩)\lim_{x \to \infty}\left(x \sin^{2}{\left(x \right)}\right) = \infty \operatorname{sign}{\left(\left\langle 0, 1\right\rangle \right)}
lim⁡x→0−(xsin⁡2(x))=0\lim_{x \to 0^-}\left(x \sin^{2}{\left(x \right)}\right) = 0
More at x→0 from the left
lim⁡x→0+(xsin⁡2(x))=0\lim_{x \to 0^+}\left(x \sin^{2}{\left(x \right)}\right) = 0
More at x→0 from the right
lim⁡x→1−(xsin⁡2(x))=sin⁡2(1)\lim_{x \to 1^-}\left(x \sin^{2}{\left(x \right)}\right) = \sin^{2}{\left(1 \right)}
More at x→1 from the left
lim⁡x→1+(xsin⁡2(x))=sin⁡2(1)\lim_{x \to 1^+}\left(x \sin^{2}{\left(x \right)}\right) = \sin^{2}{\left(1 \right)}
More at x→1 from the right
lim⁡x→−∞(xsin⁡2(x))=−∞sign⁡(⟨0,1⟩)\lim_{x \to -\infty}\left(x \sin^{2}{\left(x \right)}\right) = - \infty \operatorname{sign}{\left(\left\langle 0, 1\right\rangle \right)}
More at x→-oo
Rapid solution [src] 
oo*sign(<0, 1>)
∞sign⁡(⟨0,1⟩)\infty \operatorname{sign}{\left(\left\langle 0, 1\right\rangle \right)}
Expand and simplify
The graph
Limit of the function x*sin(x)^2
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