问题 填空题
lim
n→∞
a(1+2+…n)
2n2-5n+3
=
1
2
,则a=______.
答案

lim
n→∞
a(1+2+3+…+n)
2n2-5n+3

=

lim
n→∞
a•
n(n+1)
2
2n2-5n+3

=

lim
n→∞
a
2
n2+
a
2
2n2-5n+3

=

a
4

=

1
2

∴a=2.

故答案为:2.

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