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

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

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You have entered [src] 
 lim (2*sin(2*x))
x->oo
lim⁡x→∞(2sin⁡(2x))\lim_{x \to \infty}\left(2 \sin{\left(2 x \right)}\right) 
Limit(2*sin(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
02468-8-6-4-2-10105-5
Plot the graph
Other limits x→0, -oo, +oo, 1
lim⁡x→∞(2sin⁡(2x))=⟨−2,2⟩\lim_{x \to \infty}\left(2 \sin{\left(2 x \right)}\right) = \left\langle -2, 2\right\rangle
lim⁡x→0−(2sin⁡(2x))=0\lim_{x \to 0^-}\left(2 \sin{\left(2 x \right)}\right) = 0
More at x→0 from the left
lim⁡x→0+(2sin⁡(2x))=0\lim_{x \to 0^+}\left(2 \sin{\left(2 x \right)}\right) = 0
More at x→0 from the right
lim⁡x→1−(2sin⁡(2x))=2sin⁡(2)\lim_{x \to 1^-}\left(2 \sin{\left(2 x \right)}\right) = 2 \sin{\left(2 \right)}
More at x→1 from the left
lim⁡x→1+(2sin⁡(2x))=2sin⁡(2)\lim_{x \to 1^+}\left(2 \sin{\left(2 x \right)}\right) = 2 \sin{\left(2 \right)}
More at x→1 from the right
lim⁡x→−∞(2sin⁡(2x))=⟨−2,2⟩\lim_{x \to -\infty}\left(2 \sin{\left(2 x \right)}\right) = \left\langle -2, 2\right\rangle
More at x→-oo
Rapid solution [src] 
<-2, 2>
⟨−2,2⟩\left\langle -2, 2\right\rangle
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The graph
Limit of the function 2*sin(2*x)
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