lim(1/n^2+4/n^2+7/n^2+…+3n-1/n^2)
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lim(1/n^2+4/n^2+7/n^2+…+3n-1/n^2)
lim(1/n^2+4/n^2+7/n^2+…+3n-1/n^2)
lim(1/n^2+4/n^2+7/n^2+…+3n-1/n^2)
数列1+4+…+3n-1的和
Sn=n+3n(n-1)/2
=n+3n/2-3n/2
=3n/2-n/2
lim(1/n^2+4/n^2+7/n^2+…+3n-1/n^2)
=lim(3n^2-n/2n^2)
=lim(3-1/n)/2
=3/2
lim[(4+7+...+3n+1)/(n^2-n)]=
lim(n+3)(4-n)/(n-1)(3-2n)
lim(n^3+n)/(n^4-3n^2+1)
lim(1/n^2+4/n^2+7/n^2+…+3n-1/n^2)
lim (1+2/n)^n+4 n-->无穷大 求极限
lim(1/n+2/n+3/n+4/n+5/n+……+n/n)=lim(1/n)+lim(2/n)+……+lim(n/n)成立吗?(n趋近于无穷大)为什么不成立?
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