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sin(2*x)

Limit of the function sin(2*x)

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The solution

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 lim sin(2*x)
x->0+        
limx0+sin(2x)\lim_{x \to 0^+} \sin{\left(2 x \right)}
Limit(sin(2*x), x, 0)
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
Rapid solution [src]
0
00
Other limits x→0, -oo, +oo, 1
limx0sin(2x)=0\lim_{x \to 0^-} \sin{\left(2 x \right)} = 0
More at x→0 from the left
limx0+sin(2x)=0\lim_{x \to 0^+} \sin{\left(2 x \right)} = 0
limxsin(2x)=1,1\lim_{x \to \infty} \sin{\left(2 x \right)} = \left\langle -1, 1\right\rangle
More at x→oo
limx1sin(2x)=sin(2)\lim_{x \to 1^-} \sin{\left(2 x \right)} = \sin{\left(2 \right)}
More at x→1 from the left
limx1+sin(2x)=sin(2)\lim_{x \to 1^+} \sin{\left(2 x \right)} = \sin{\left(2 \right)}
More at x→1 from the right
limxsin(2x)=1,1\lim_{x \to -\infty} \sin{\left(2 x \right)} = \left\langle -1, 1\right\rangle
More at x→-oo
One‐sided limits [src]
 lim sin(2*x)
x->0+        
limx0+sin(2x)\lim_{x \to 0^+} \sin{\left(2 x \right)}
0
00
= 2.03873400266658e-31
 lim sin(2*x)
x->0-        
limx0sin(2x)\lim_{x \to 0^-} \sin{\left(2 x \right)}
0
00
= -2.03873400266658e-31
= -2.03873400266658e-31
Numerical answer [src]
2.03873400266658e-31
2.03873400266658e-31
The graph
Limit of the function sin(2*x)