\title{Fracción con 3 términos}
\language{en}
\range{-3..3}
\author{Gang XIAO}
\email{xiao@unice.fr}
\computeanswer{yes}
\format{html}
\precision{10000}

\text{integers=shuffle(8)}
\integer{a=item(1,\integers)+1}
\integer{b=item(2,\integers)+1}
\integer{c=item(3,\integers)+1}
\text{a=random(-1,1)>0?\a:(-\a)}
\text{b=random(-1,1)>0?\b:(-\b)}
\text{c=random(-1,1)>0?\c:(-\c)}
\text{pp=shuffle(n,(n-1),(n-2),(n+1),(n+2))}
\text{p1=item(1,\pp)}
\text{p2=item(2,\pp)}
\integer{diff=evalue(\p1-\p2,n=0)}
\integer{max=abs(\a)>abs(\b)?\a:\b}
\integer{max=abs(\c)>abs(\max)?\c}
\real{lim=(\max)^(\diff)}

\statement{Calcular el límite de la sucesión (<i>u<sub>n</sub></i>), donde
<p><center>
\( u_n=(\a^\p1 + \b^\p1 + \c^\p1) / (\a^\p2 + \b^\p2 + \c^\p2) )
</center> <p>
}

\answer{lim(<i>u<sub>n</sub></i>)}{\lim}{type=numeric}
