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asin(x)^2
Limit of the function/ asin(x)^2

Limit of the function asin(x)^2

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         2   
 lim asin (x)
x->0+
lim⁡x→0+asin⁡2(x)\lim_{x \to 0^+} \operatorname{asin}^{2}{\left(x \right)} 
Limit(asin(x)^2, 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
02468-8-6-4-2-10102-1
Plot the graph
Rapid solution [src] 
0
00
Expand and simplify
One‐sided limits [src] 
         2   
 lim asin (x)
x->0+
lim⁡x→0+asin⁡2(x)\lim_{x \to 0^+} \operatorname{asin}^{2}{\left(x \right)} 
0
00 
= -4.64816349178061e-30
         2   
 lim asin (x)
x->0-
lim⁡x→0−asin⁡2(x)\lim_{x \to 0^-} \operatorname{asin}^{2}{\left(x \right)} 
0
00 
= -4.64816349178061e-30
= -4.64816349178061e-30
Other limits x→0, -oo, +oo, 1
lim⁡x→0−asin⁡2(x)=0\lim_{x \to 0^-} \operatorname{asin}^{2}{\left(x \right)} = 0
More at x→0 from the left
lim⁡x→0+asin⁡2(x)=0\lim_{x \to 0^+} \operatorname{asin}^{2}{\left(x \right)} = 0
lim⁡x→∞asin⁡2(x)=−∞\lim_{x \to \infty} \operatorname{asin}^{2}{\left(x \right)} = -\infty
More at x→oo
lim⁡x→1−asin⁡2(x)=π24\lim_{x \to 1^-} \operatorname{asin}^{2}{\left(x \right)} = \frac{\pi^{2}}{4}
More at x→1 from the left
lim⁡x→1+asin⁡2(x)=π24\lim_{x \to 1^+} \operatorname{asin}^{2}{\left(x \right)} = \frac{\pi^{2}}{4}
More at x→1 from the right
lim⁡x→−∞asin⁡2(x)=−∞\lim_{x \to -\infty} \operatorname{asin}^{2}{\left(x \right)} = -\infty
More at x→-oo
Numerical answer [src] 
-4.64816349178061e-30
-4.64816349178061e-30
The graph
Limit of the function asin(x)^2
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