求极限lim(n→∞)(3n^2-n+1)/(2+n^2)?

求极限lim(n→∞)(3n^2-n+1)/(2+n^2)?
数学人气:217 ℃时间:2020-04-18 22:48:02
优质解答
lim(n→∞)(3n^2-n+1)/(2+n^2)
=lim(n→∞)(3n^2+6-6-n+1)/(2+n^2)
=lim(n→∞)[3(n^2+2)-(5+n)]/(2+n^2)
=lim(n→∞)[3-(5+n)/(2+n^2)]
=3
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