已知lim n→∞an^2+cn/bn^2+c=2,lim n→∞bn+c/cn+a=3,则lim n→∞an^2+bn+c/cn^2+an+b的值是

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已知lim n→∞an^2+cn/bn^2+c=2,lim n→∞bn+c/cn+a=3,则lim n→∞an^2+bn+c/cn^2+an+b的值是
已知lim n→∞an^2+cn/bn^2+c=2,lim n→∞bn+c/cn+a=3,则lim n→∞an^2+bn+c/cn^2+an+b的值是

已知lim n→∞an^2+cn/bn^2+c=2,lim n→∞bn+c/cn+a=3,则lim n→∞an^2+bn+c/cn^2+an+b的值是
2.已知n→∞lim(an^2+cn)/(bn^2+c)=2,n→∞lim(bn+c)/(cn+a)=3,
则n→∞lim[(an^2+bn+c)/(cn^2+an+b)]的值是.
∵n→∞lim(an²+cn)/(bn²+c)=n→∞lim[a+(c/n)]/[b+(c/n²)]=a/b=2
n→∞lim(bn+c)/(cn+a)=n→∞lim[b+(c/n)]/[c+(a/n)]=b/c=3
故a=2b,c=b/3.(1)
∴n→∞lim[(an²+bn+c)/(cn²+an+b)]
=n→∞lim[(a+(b/n)+(c/n²)]/[c+(a/n)+(b/n²)]
=a/c(代入(1)之值,得)
=2b/(b/3)=6.

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