barisan tak terhingga dengn suku umum Un=n/nkuadrat+1 adalah

[tex]\displaystyle U_n=\frac{n}{n^2+1} \\ U_\infty = \lim_{n \to \infty} \frac{n}{n^2+1} \\ U_\infty=\lim_{n \to \infty}\frac{n}{n(n+\frac{1}{n})}=\lim_{n \to \infty}\frac{1}{n+\frac{1}{n}} \\ U_\infty =\frac{1}{\infty+\frac{1}{\infty}} = \frac{1}{\infty+0} = \frac{1}{\infty}=0[/tex]