Mister Exam

Limit of the function sin(z)

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The solution

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 lim sin(z)
z->oo      
limzsin(z)\lim_{z \to \infty} \sin{\left(z \right)}
Limit(sin(z), z, 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
Other limits z→0, -oo, +oo, 1
limzsin(z)=1,1\lim_{z \to \infty} \sin{\left(z \right)} = \left\langle -1, 1\right\rangle
limz0sin(z)=0\lim_{z \to 0^-} \sin{\left(z \right)} = 0
More at z→0 from the left
limz0+sin(z)=0\lim_{z \to 0^+} \sin{\left(z \right)} = 0
More at z→0 from the right
limz1sin(z)=sin(1)\lim_{z \to 1^-} \sin{\left(z \right)} = \sin{\left(1 \right)}
More at z→1 from the left
limz1+sin(z)=sin(1)\lim_{z \to 1^+} \sin{\left(z \right)} = \sin{\left(1 \right)}
More at z→1 from the right
limzsin(z)=1,1\lim_{z \to -\infty} \sin{\left(z \right)} = \left\langle -1, 1\right\rangle
More at z→-oo
Rapid solution [src]
<-1, 1>
1,1\left\langle -1, 1\right\rangle
The graph
Limit of the function sin(z)