问题 填空题
计算:
lim
n→∞
(
1
n2
+
2
n2
+…+
n
n2
)
=______.
答案

lim
n→∞
(
1
n2
+
2
n2
+…+
n
n2
)=
lim
n→∞
1+2+…+n
n2

=

lim
n→∞
n(n+1)
2
n2
=
lim
n→∞
1+
1
n
2
=
1
2

故答案为:

1
2

辨析题
解答题