Pt a=3 limita e 1
a=/=3
se da a^n factor comun fortat
lim a^n(2^n/a^n+1)/3^n(2^n/3^n+1)=lim(a/3)^n*{(2^n/a^n+1)/(2^n/3^n+1)}
PT a>3 {...}→1
lim(a/3)^n→∞=>L=+∞
___________________
Pt a∈(1.3) {...}→1
lim(a/3)^n=0 L→0
Caz a∈(0,1)
Se da la numarator 2^n factor comun la numarator si 3^n la numitor
lim(2/3)^n*(1+(a/2)^n)/((2/3)^n+1)=0*1=0