Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (4+x^2)/(-6+2*x)
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Limit of ((1+x)/(1+2*x))^x
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Limit of (n/(1+n))^(5+3*n)
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Limit of (9^x-8^x)/asin(3*x)
- Graphing y =:
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atan(x)^2
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Identical expressions
- atan(x)^ two
- arc tangent of gent of (x) squared
- arc tangent of gent of (x) to the power of two
- atan(x)2
- atanx2
- atan(x)²
- atan(x) to the power of 2
- atanx^2
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Similar expressions
- atan(x^2)/(x*(1+x)*(2+x))
- arctan(x)^2
- arctanx^2
Limit of the function atan(x)^2
The solution
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2 lim atan (x) x->oo
$$\lim_{x \to \infty} \operatorname{atan}^{2}{\left(x \right)}$$
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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} \operatorname{atan}^{2}{\left(x \right)} = \frac{\pi^{2}}{4}$$
$$\lim_{x \to 0^-} \operatorname{atan}^{2}{\left(x \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \operatorname{atan}^{2}{\left(x \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \operatorname{atan}^{2}{\left(x \right)} = \frac{\pi^{2}}{16}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \operatorname{atan}^{2}{\left(x \right)} = \frac{\pi^{2}}{16}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \operatorname{atan}^{2}{\left(x \right)} = \frac{\pi^{2}}{4}$$
More at x→-oo
$$\lim_{x \to 0^-} \operatorname{atan}^{2}{\left(x \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \operatorname{atan}^{2}{\left(x \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \operatorname{atan}^{2}{\left(x \right)} = \frac{\pi^{2}}{16}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \operatorname{atan}^{2}{\left(x \right)} = \frac{\pi^{2}}{16}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \operatorname{atan}^{2}{\left(x \right)} = \frac{\pi^{2}}{4}$$
More at x→-oo
The graph