limn→∞12n(n2+1-n2-1)等于()A.1B.12C.14D.0-数学

题目简介

limn→∞12n(n2+1-n2-1)等于()A.1B.12C.14D.0-数学

题目详情

lim
n→∞
1
2n(
n2+1
-
n2-1
)
等于(  )
A.1B.
1
2
C.
1
4
D.0
题型:单选题难度:偏易来源:陕西

答案

lim
n→∞
class="stub"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
=class="stub"1
2

故选B.

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