问题 填空题
lim
n→∞
3+32+…+3n
3n-2n
=______.
答案

lim
n→∞
3+32+…+3n
3n-2n
=
lim
n→∞
3(1-3n)
1-3
3n-2n
=
lim
n→∞
3(3n-1 )
2
3n-2n
=
3
2
lim
n→∞
3n-1
3n-2n
=
3
2

故答案为:

3
2

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