问题 填空题
(文)
lim
n→∞
(
n3
2n2-1
-
n2
2n+1
)
=______.
答案

lim
n→∞
(
n3
2n2-1
-
n2
2n+1
)

=

lim
n→∞
n3(2n+1)-n2(2n2-1)
(2n2-1)(2n+1)

=

lim
n→∞
n3+n2
4n3+2n2-2n-1

=

lim
n→∞
1+
1
n
4+
2
n
-
1
n2
-
1
n3

=

1
4

故答案为:

1
4

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