问题 填空题
lim
n→∞
C2n
+2
Cn-2n
(n+1)2
=______.
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→∞
3
2
n2 -
3
2
n
n2+2n+1
=
lim
n→∞
3
2
-
3
2n
1+
2
n
+
1
n2
=
3
2

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