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acos(x)^log(x)
Limit of the function/ acos(x)^log(x)

Limit of the function acos(x)^log(x)

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The solution

You have entered [src] 
         log(x)   
 lim acos      (x)
x->1+
lim⁡x→1+acos⁡log⁡(x)(x)\lim_{x \to 1^+} \operatorname{acos}^{\log{\left(x \right)}}{\left(x \right)} 
Limit(acos(x)^log(x), x, 1)
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
-2.0-1.5-1.0-0.52.00.00.51.01.502
Plot the graph
Rapid solution [src] 
1
11
Expand and simplify
One‐sided limits [src] 
         log(x)   
 lim acos      (x)
x->1+
lim⁡x→1+acos⁡log⁡(x)(x)\lim_{x \to 1^+} \operatorname{acos}^{\log{\left(x \right)}}{\left(x \right)} 
1
11 
= (0.999118255871473 + 0.000407650824821235j)
         log(x)   
 lim acos      (x)
x->1-
lim⁡x→1−acos⁡log⁡(x)(x)\lim_{x \to 1^-} \operatorname{acos}^{\log{\left(x \right)}}{\left(x \right)} 
1
11 
= 1.00086818352349
= 1.00086818352349
Numerical answer [src] 
(0.999118255871473 + 0.000407650824821235j)
(0.999118255871473 + 0.000407650824821235j)
The graph
Limit of the function acos(x)^log(x)
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