Limit of the function acos(x)

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 lim  acos(x)
x->-oo

\lim_{x \to -\infty} \operatorname{acos}{\left(x \right)}

Limit(acos(x), x, -oo)

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

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Rapid solution [src]

-oo*I

- \infty i

Expand and simplify

Other limits x→0, -oo, +oo, 1

\lim_{x \to -\infty} \operatorname{acos}{\left(x \right)} = - \infty i

\lim_{x \to \infty} \operatorname{acos}{\left(x \right)} = \infty i

\lim_{x \to 0^-} \operatorname{acos}{\left(x \right)} = \frac{\pi}{2}

\lim_{x \to 0^+} \operatorname{acos}{\left(x \right)} = \frac{\pi}{2}

\lim_{x \to 1^-} \operatorname{acos}{\left(x \right)} = 0

\lim_{x \to 1^+} \operatorname{acos}{\left(x \right)} = 0

The graph