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

Limit of the function sin(sin(x))

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You have entered [src] 
 lim sin(sin(x))
x->oo
lim⁡x→∞sin⁡(sin⁡(x))\lim_{x \to \infty} \sin{\left(\sin{\left(x \right)} \right)} 
Limit(sin(sin(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
02468-8-6-4-2-10102-2
Plot the graph
Rapid solution [src] 
<-sin(1), sin(1)>
⟨−sin⁡(1),sin⁡(1)⟩\left\langle - \sin{\left(1 \right)}, \sin{\left(1 \right)}\right\rangle
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞sin⁡(sin⁡(x))=⟨−sin⁡(1),sin⁡(1)⟩\lim_{x \to \infty} \sin{\left(\sin{\left(x \right)} \right)} = \left\langle - \sin{\left(1 \right)}, \sin{\left(1 \right)}\right\rangle
lim⁡x→0−sin⁡(sin⁡(x))=0\lim_{x \to 0^-} \sin{\left(\sin{\left(x \right)} \right)} = 0
More at x→0 from the left
lim⁡x→0+sin⁡(sin⁡(x))=0\lim_{x \to 0^+} \sin{\left(\sin{\left(x \right)} \right)} = 0
More at x→0 from the right
lim⁡x→1−sin⁡(sin⁡(x))=sin⁡(sin⁡(1))\lim_{x \to 1^-} \sin{\left(\sin{\left(x \right)} \right)} = \sin{\left(\sin{\left(1 \right)} \right)}
More at x→1 from the left
lim⁡x→1+sin⁡(sin⁡(x))=sin⁡(sin⁡(1))\lim_{x \to 1^+} \sin{\left(\sin{\left(x \right)} \right)} = \sin{\left(\sin{\left(1 \right)} \right)}
More at x→1 from the right
lim⁡x→−∞sin⁡(sin⁡(x))=⟨−sin⁡(1),sin⁡(1)⟩\lim_{x \to -\infty} \sin{\left(\sin{\left(x \right)} \right)} = \left\langle - \sin{\left(1 \right)}, \sin{\left(1 \right)}\right\rangle
More at x→-oo
The graph
Limit of the function sin(sin(x))
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