limn→∞C2n+2Cn-2n(n+1)2=______.-数学

题目简介

limn→∞C2n+2Cn-2n(n+1)2=______.-数学

题目详情

lim
n→∞
C2n
+2
Cn-2n
(n+1)2
=______.
题型:填空题难度:中档来源:山东

答案

lim
n→∞
C2n
+2
Cn-2n
(n+1)2
=
lim
n→∞
n(n-1)
2
+2×
n(n-1)
2
n2+2n+1
=
lim
n→∞
class="stub"3
2
n2 -class="stub"3
2
n
n2+2n+1
=
lim
n→∞
class="stub"3
2
-class="stub"3
2n
1+class="stub"2
n
+class="stub"1
n2
=class="stub"3
2

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