题目内容
若常数b满足|b|>1,则
=______.
| lim |
| n→∞ |
| 1+b+b2+…+bn-1 |
| bn |
∵|b|>1,
∴
=
=
=
.
答案:
.
∴
| lim |
| n→∞ |
| 1+b+b2+…+bn-1 |
| bn |
| lim |
| n→∞ |
| ||
| bn |
| lim |
| n→∞ |
| ||
| 1-b |
| 1 |
| b-1 |
答案:
| 1 |
| b-1 |
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