问题
选择题
|
答案
(lim n→∞
-1 n+1
+2 n+1
-…+3 n+1
-2n-1 n+1
)2n n+1
=lim n→∞ [1+3+5+…+(2n-1)]-[2+4+6+…+2n] n+1
=lim n→∞
-n×2n 2 n(2+2n) 2 n+1
=lim n→∞ -n n+1
=-1．
故选A．
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|
(lim n→∞
-1 n+1
+2 n+1
-…+3 n+1
-2n-1 n+1
)2n n+1
=lim n→∞ [1+3+5+…+(2n-1)]-[2+4+6+…+2n] n+1
=lim n→∞
-n×2n 2 n(2+2n) 2 n+1
=lim n→∞ -n n+1
=-1．
故选A．