问题 解答题
求极限
lim
n→∞
(
1
n2+1
+
2
n2+1
+
3
n2+1
+…+
2n
n2+1
)
答案

lim
n→∞
(
1
n2+1
+
2
n2+1
+
3
n2+1
+…+
2n
n2+1
)

=

lim
n→∞
2n
2
(1+2n)
n2+1

=

lim
n→∞
2n2+n
n2+1

=2.

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