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x^3*atan(x)
Limit of the function/ x^3*atan(x)

Limit of the function x^3*atan(x)

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     / 3        \
 lim \x *atan(x)/
x->oo
lim⁡x→∞(x3atan⁡(x))\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
02468-8-6-4-2-101002000
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Rapid solution [src] 
oo
∞\infty
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞(x3atan⁡(x))=∞\lim_{x \to \infty}\left(x^{3} \operatorname{atan}{\left(x \right)}\right) = \infty
lim⁡x→0−(x3atan⁡(x))=0\lim_{x \to 0^-}\left(x^{3} \operatorname{atan}{\left(x \right)}\right) = 0
More at x→0 from the left
lim⁡x→0+(x3atan⁡(x))=0\lim_{x \to 0^+}\left(x^{3} \operatorname{atan}{\left(x \right)}\right) = 0
More at x→0 from the right
lim⁡x→1−(x3atan⁡(x))=π4\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→1+(x3atan⁡(x))=π4\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→−∞(x3atan⁡(x))=∞\lim_{x \to -\infty}\left(x^{3} \operatorname{atan}{\left(x \right)}\right) = \infty
More at x→-oo
The graph
Limit of the function x^3*atan(x)
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