根据等差数列求和公式
f(n)=n(n+1)/2
lim f(n^2)/{f(n)}^2
=lim n^2(n^2+1)/{n^2(n+1)^2/4}
=lim 4(n^2+1)/(n^2+2n+1)
=4 lim (n^2+1)/(n^2+2n+1)
=4
若仍有疑问,欢迎追问!
根据等差数列求和公式
f(n)=n(n+1)/2
lim f(n^2)/{f(n)}^2
=lim n^2(n^2+1)/{n^2(n+1)^2/4}
=lim 4(n^2+1)/(n^2+2n+1)
=4 lim (n^2+1)/(n^2+2n+1)
=4
若仍有疑问,欢迎追问!