问题 选择题
lim
n→∞
1
2n(
n2+1
-
n2-1
)
等于(  )
A.1B.
1
2
C.
1
4
D.0
答案

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

=

lim
n→∞
n2+1
+
n2-1
4n
=
1
2

故选B.

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