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)
- Derivative of:
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x^3*atan(x)
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Identical expressions
- x^ three *atan(x)
- x cubed multiply by arc tangent of gent of (x)
- x to the power of three multiply by arc tangent of gent of (x)
- x3*atan(x)
- x3*atanx
- x³*atan(x)
- x to the power of 3*atan(x)
- x^3atan(x)
- x3atan(x)
- x3atanx
- x^3atanx
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Similar expressions
- x^3*arctan(x)
- x^3*arctanx
Limit of the function x^3*atan(x)
The solution
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/ 3 \ lim \x *atan(x)/ x->oo
$$\lim_{x \to \infty}\left(x^{3} \operatorname{atan}{\left(x \right)}\right)$$
Limit(x^3*atan(x), 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
$$\lim_{x \to \infty}\left(x^{3} \operatorname{atan}{\left(x \right)}\right) = \infty$$
$$\lim_{x \to 0^-}\left(x^{3} \operatorname{atan}{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{3} \operatorname{atan}{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x^{3} \operatorname{atan}{\left(x \right)}\right) = \frac{\pi}{4}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{3} \operatorname{atan}{\left(x \right)}\right) = \frac{\pi}{4}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{3} \operatorname{atan}{\left(x \right)}\right) = \infty$$
More at x→-oo
$$\lim_{x \to 0^-}\left(x^{3} \operatorname{atan}{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{3} \operatorname{atan}{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x^{3} \operatorname{atan}{\left(x \right)}\right) = \frac{\pi}{4}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{3} \operatorname{atan}{\left(x \right)}\right) = \frac{\pi}{4}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{3} \operatorname{atan}{\left(x \right)}\right) = \infty$$
More at x→-oo
The graph