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

Limit of the function atan(x)^2

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         2   
 lim atan (x)
x->oo
lim⁡x→∞atan⁡2(x)\lim_{x \to \infty} \operatorname{atan}^{2}{\left(x \right)} 
Limit(atan(x)^2, 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
02468-8-6-4-2-10100.02.5
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Other limits x→0, -oo, +oo, 1
lim⁡x→∞atan⁡2(x)=π24\lim_{x \to \infty} \operatorname{atan}^{2}{\left(x \right)} = \frac{\pi^{2}}{4}
lim⁡x→0−atan⁡2(x)=0\lim_{x \to 0^-} \operatorname{atan}^{2}{\left(x \right)} = 0
More at x→0 from the left
lim⁡x→0+atan⁡2(x)=0\lim_{x \to 0^+} \operatorname{atan}^{2}{\left(x \right)} = 0
More at x→0 from the right
lim⁡x→1−atan⁡2(x)=π216\lim_{x \to 1^-} \operatorname{atan}^{2}{\left(x \right)} = \frac{\pi^{2}}{16}
More at x→1 from the left
lim⁡x→1+atan⁡2(x)=π216\lim_{x \to 1^+} \operatorname{atan}^{2}{\left(x \right)} = \frac{\pi^{2}}{16}
More at x→1 from the right
lim⁡x→−∞atan⁡2(x)=π24\lim_{x \to -\infty} \operatorname{atan}^{2}{\left(x \right)} = \frac{\pi^{2}}{4}
More at x→-oo
Rapid solution [src] 
  2
pi 
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 4
π24\frac{\pi^{2}}{4}
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Limit of the function atan(x)^2
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