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

\text{zero=Converge a 0}
\text{nonz=Converge a un valor no nulo}
\text{div=Diverge hacia + o - infinito}
\text{limits=\zero,\nonz,\div}
\integer{c1=random(2..10)*random(-1,1)}
\integer{c2=random(2..10)*random(-1,1)}
\integer{c3=random(2..10)*random(-1,1)}
\integer{c4=random(2..10)*random(-1,1)}
\integer{c5=random(2..10)*random(-1,1)}
\integer{C1=random(2..10)}
\integer{C2=random(2..10)}
\integer{C3=random(2..10)}
\integer{C4=random(2..10)}
\integer{C5=random(2..10)}
\integer{C345=random(3,4,5)}
\real{d1=(randint(10..90)/100+randint(0..5))*random(-1,1)}
\real{d2=(randint(10..90)/100+randint(0..5))*random(-1,1)}
\integer{b1=random(1,2,3,5,8)*random(1000,10000,100000)*random(-1,1)}
\integer{b2=random(1,2,3,5,8)*random(1000,10000,100000)*random(-1,1)}
\real{s1=randint(1..20)/50+1}
\real{s2=randint(1..20)/50+1}
\matrix{data=
\c1*n^2+\c2*n+\c3,	sqrt(\C1*n^\C345+\C2*n+\C3),			4-\C345
n^\C1+\C2^n,		\C1^n,						\C2-\C1
\c1*n^\C1+\C2^n,	\c2*n^\C3+\C4^n,				\C2-\C4
\b1*(\c1*n^2+\c2*n), sqrt(\C1*n^random(2,3)+\C2)random(+,*)random(cos,sin)(\c3*n!), 1
\c1*\s1^n,		random(\c3,\b1)*n^\C1+\c2,			1
n^(n+\c1)+\c3*n^\C1,	n^(n+\c2)+\c4*n^\C2,				\c1-(\c2)
n!+\c1*n^\C2,		n^n+\c2*random(cos,sin)(\c3*n!),		-1
(n+\C2)!,		random(\C1,\b1)^(n+\C3),			1
1+2+3+...+\C1*n,	 \c1*(randitem(\C2*n,n+\C2))^2,			0
(\C1*n)^n,		n^(\C2*n),					-1
\C1^(n+\C2)+\c1*n^\C3,	\C1^(n+\C4)+\c2*n^\C5,				0
random(\b1,\c1)*ln(\C1*n^\C2+\C3), random(\b2,\c2)*n+\c3,		-1
\c1*ln(\C1^(\C2*n+\c1)+\C4*n^\C3), \c3*n+\c4,				0
\c1*sqrt(\C1*n+\C2),	\c2*ln(\C3*n^\C4+\C5),				1


}
\text{line=randomrow(\data)}
#text{line=row(rows(\data),\data)}
\text{tt=shuffle(2)}
\integer{t1=item(1,\tt)}
\integer{t2=item(2,\tt)}
\text{f1=texmath(item(\t1,\line))}
\text{f2=texmath(item(\t2,\line))}
\text{diff=item(3,\line)}
\real{diff=\t1=2?-(\diff)}
\text{good=\diff=0?\nonz}
\text{good=\diff>0?\div}
\text{good=\diff<0?\zero}

\statement{¿Cuál es la naturaleza de la sucesión (<i>u<sub>n</sub></i>), donde
<p><center>
\( u_n = \frac{\f1}{\f2} ) &nbsp;?
</center> <p>
}

\choice{La respuesta ha sido}{\good}{\limits}
