问题 填空题
lim
n→+∞
(
n2+n
-n)
=______.
答案

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

=

lim
n→∞
n
n2+n
+n
=
lim
n→∞
1
1+
1+
1
n
=
1
2

故答案为:

1
2

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