问题 填空题
lim
n→∞
(
1
2n2+1
+
3
2n2+1
+
5
2n2+1
+…+
2n-1
2n2+1
)
的值为______.
答案

lim
n→∞
(
1
2n2+1
+
3
2n2+1
+
5
2n2+1
+…+
2n-1
2n2+1
)=
lim
n→∞
 
n[1+(2n-1)]
2
2n2+1
 

=

lim
n→∞
2n2
4n2+2
=
lim
n→∞
 
2
4+
2
n2
=
2
4+0
=
1
2

故答案为

1
2

单项选择题 A1/A2型题
问答题 案例分析题