數學知識交流---數列和(3)

2011-06-18 4:22 am
(1) 求 3^(1/2) + 3^(1/3) + 3^(1/4) + ... ( = infinity ? )

回答 (1)

2011-06-18 5:19 am
✔ 最佳答案
3^(1/2) + 3^(1/3) + 3^(1/4) + ...

> 1^(1/2) + 1^(1/3) + 1^(1/4) + ...

= 1 + 1 + 1 + ...

= ∞


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