题目内容
设等比数列{an}为1,2,4,8,…,其前n项和为Sn,则
的值为( )
| lim |
| n→∞ |
| an |
| Sn |
| A.0 | B.
| C.1 | D.2 |
∵Sn =
=2n-1,an=2n-1,
∴
=
=
=
.
故选B.
| 1×(1-2n) |
| 1-2 |
∴
| lim |
| n→∞ |
| an |
| Sn |
| lim |
| n→∞ |
| 2n-1 |
| 2n-1 |
| lim |
| n→∞ |
| ||||
1-
|
| 1 |
| 2 |
故选B.
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|
设等比数列{an}为1,2,4,8,…,其前n项和为Sn,则
的值为( )
| lim |
| n→∞ |
| an |
| Sn |
| A、0 | ||
B、
| ||
| C、1 | ||
| D、2 |