Question

求(3n²+2n+1)÷(5n²-2n+3)的极限，要步骤

Answer 1

约定:lim[n→∞]表示求n趋于无穷大时的极限
lim[n→∞]((3n²+2n+1)/(5n²-2n+3))
=lim[n→∞]((3+2(1/n)+(1/n)²)/(5-2(1/n)+3(1/n)²))
=(3+2·0+0²)/(5-2·0+3·0²)
=3/5
所以
lim[n→∞]((3n²+2n+1)/(5n²-2n+3))=3/5
希望能帮到你！