求数列(2n^2+n+3)/(3n^2+4n+1)的极限如题

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求数列(2n^2+n+3)/(3n^2+4n+1)的极限如题求数列(2n^2+n+3)/(3n^2+4n+1)的极限如题求数列(2n^2+n+3)/(3n^2+4n+1)的极限如题答案是2/3(2n^

求数列(2n^2+n+3)/(3n^2+4n+1)的极限如题
求数列(2n^2+n+3)/(3n^2+4n+1)的极限
如题

求数列(2n^2+n+3)/(3n^2+4n+1)的极限如题
答案是2/3

(2n^2+n+3)/(3n^2+4n+1)
=2/3

lim(2n^2+n+3)/(3n^2+4n+1)丨n=∞
=lim(2+1/n+3/n^2)/(3+4/n+1/n^2)丨n=∞
=(2+lim1/n+lim3/n^2)/(3+lim4/n+lim1/n^2丨n=∞
=(2+0+0)/(3+0+0)
=2/3。

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