lim(n→∞)∑(k=1,n)√k⼀(n^3⼀2),求解过程。谢谢~

2025-01-05 03:32:08
推荐回答(1个)
回答1:

lim(n->∞)∑(k:1-> n)√k/ n^(3/2)
=lim(n->∞) (1/n)∑(k:1-> n)√ (k/n)
= ∫(0->1) √x dx
= (2/3)[ x^(3/2)]|(0->1)
=2/3