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sin(3)^2/x
Limit of the function/ sin(3)^2/x

Limit of the function sin(3)^2/x

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You have entered [src] 
     /   2   \
     |sin (3)|
 lim |-------|
x->0+\   x   /
lim⁡x→0+(sin⁡2(3)x)\lim_{x \to 0^+}\left(\frac{\sin^{2}{\left(3 \right)}}{x}\right) 
Limit(sin(3)^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
02468-8-6-4-2-10105-5
Plot the graph
Other limits x→0, -oo, +oo, 1
lim⁡x→0−(sin⁡2(3)x)=∞\lim_{x \to 0^-}\left(\frac{\sin^{2}{\left(3 \right)}}{x}\right) = \infty
More at x→0 from the left
lim⁡x→0+(sin⁡2(3)x)=∞\lim_{x \to 0^+}\left(\frac{\sin^{2}{\left(3 \right)}}{x}\right) = \infty
lim⁡x→∞(sin⁡2(3)x)=0\lim_{x \to \infty}\left(\frac{\sin^{2}{\left(3 \right)}}{x}\right) = 0
More at x→oo
lim⁡x→1−(sin⁡2(3)x)=sin⁡2(3)\lim_{x \to 1^-}\left(\frac{\sin^{2}{\left(3 \right)}}{x}\right) = \sin^{2}{\left(3 \right)}
More at x→1 from the left
lim⁡x→1+(sin⁡2(3)x)=sin⁡2(3)\lim_{x \to 1^+}\left(\frac{\sin^{2}{\left(3 \right)}}{x}\right) = \sin^{2}{\left(3 \right)}
More at x→1 from the right
lim⁡x→−∞(sin⁡2(3)x)=0\lim_{x \to -\infty}\left(\frac{\sin^{2}{\left(3 \right)}}{x}\right) = 0
More at x→-oo
One‐sided limits [src] 
     /   2   \
     |sin (3)|
 lim |-------|
x->0+\   x   /
lim⁡x→0+(sin⁡2(3)x)\lim_{x \to 0^+}\left(\frac{\sin^{2}{\left(3 \right)}}{x}\right) 
oo
∞\infty 
= 3.00714335789737
     /   2   \
     |sin (3)|
 lim |-------|
x->0-\   x   /
lim⁡x→0−(sin⁡2(3)x)\lim_{x \to 0^-}\left(\frac{\sin^{2}{\left(3 \right)}}{x}\right) 
-oo
−∞-\infty 
= -3.00714335789737
= -3.00714335789737
Rapid solution [src] 
oo
∞\infty
Expand and simplify
Numerical answer [src] 
3.00714335789737
3.00714335789737
The graph
Limit of the function sin(3)^2/x
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