Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of x^(4/x)
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Limit of (-6+x^2-x)/(-4+x^2)
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Limit of (-6+x^2-x)/(-21+x+2*x^2)
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Limit of e^(3-x)*(-2+x)
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Identical expressions
- atan(x^ three)
- arc tangent of gent of (x cubed )
- arc tangent of gent of (x to the power of three)
- atan(x3)
- atanx3
- atan(x³)
- atan(x to the power of 3)
- atanx^3
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Similar expressions
- arctan(x^3)
Limit of the function atan(x^3)
The solution
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/ 3\ lim atan\x / x->oo
$$\lim_{x \to \infty} \operatorname{atan}{\left(x^{3} \right)}$$
Limit(atan(x^3), 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
$$\lim_{x \to \infty} \operatorname{atan}{\left(x^{3} \right)} = \frac{\pi}{2}$$
$$\lim_{x \to 0^-} \operatorname{atan}{\left(x^{3} \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \operatorname{atan}{\left(x^{3} \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \operatorname{atan}{\left(x^{3} \right)} = \frac{\pi}{4}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \operatorname{atan}{\left(x^{3} \right)} = \frac{\pi}{4}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \operatorname{atan}{\left(x^{3} \right)} = - \frac{\pi}{2}$$
More at x→-oo
$$\lim_{x \to 0^-} \operatorname{atan}{\left(x^{3} \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \operatorname{atan}{\left(x^{3} \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \operatorname{atan}{\left(x^{3} \right)} = \frac{\pi}{4}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \operatorname{atan}{\left(x^{3} \right)} = \frac{\pi}{4}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \operatorname{atan}{\left(x^{3} \right)} = - \frac{\pi}{2}$$
More at x→-oo
The graph