计算:limn→∞(1n2+2n2+…+nn2)=______.-数学

题目简介

计算:limn→∞(1n2+2n2+…+nn2)=______.-数学

题目详情

计算:
lim
n→∞
(
1
n2
+
2
n2
+…+
n
n2
)
=______.
题型:填空题难度:中档来源:不详

答案

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

=
lim
n→∞
n(n+1)
2
n2
=
lim
n→∞
1+class="stub"1
n
2
=class="stub"1
2

故答案为:class="stub"1
2

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