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x*acos(x)
Limit of the function/ x*acos(x)

Limit of the function x*acos(x)

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The solution

You have entered [src] 
 lim (x*acos(x))
x->oo
lim⁡x→∞(xacos⁡(x))\lim_{x \to \infty}\left(x \operatorname{acos}{\left(x \right)}\right) 
Limit(x*acos(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
02468-8-6-4-2-10105-5
Plot the graph
Rapid solution [src] 
oo*I
∞i\infty i
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞(xacos⁡(x))=∞i\lim_{x \to \infty}\left(x \operatorname{acos}{\left(x \right)}\right) = \infty i
lim⁡x→0−(xacos⁡(x))=0\lim_{x \to 0^-}\left(x \operatorname{acos}{\left(x \right)}\right) = 0
More at x→0 from the left
lim⁡x→0+(xacos⁡(x))=0\lim_{x \to 0^+}\left(x \operatorname{acos}{\left(x \right)}\right) = 0
More at x→0 from the right
lim⁡x→1−(xacos⁡(x))=0\lim_{x \to 1^-}\left(x \operatorname{acos}{\left(x \right)}\right) = 0
More at x→1 from the left
lim⁡x→1+(xacos⁡(x))=0\lim_{x \to 1^+}\left(x \operatorname{acos}{\left(x \right)}\right) = 0
More at x→1 from the right
lim⁡x→−∞(xacos⁡(x))=∞i\lim_{x \to -\infty}\left(x \operatorname{acos}{\left(x \right)}\right) = \infty i
More at x→-oo
The graph
Limit of the function x*acos(x)
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