Re: [考古] 95高雄大
※ 引述《GLP (^__________^)》之銘言:
: ※ 引述《ruru168cm (正妹胖子)》之銘言:
: : 6.
: : ∞ k^(k/2)
: : Determine whether Σ ———— converges or diverges.
: : k=1 k!
: by ratio test
: an+1 k^(1/2)
: ---- = ---------- 取極限 = 0 < 1
: an k+1
: 原級數收斂
其實 , 你的計算應該有些錯誤
(k+1)^((k+1)/2)
------------------
| a_(k+1) | (k+1)!
----------- = --------------------------
| a_k | k^(k/2)
----------------
k!
1 (k+1)
= -------- * sqrt(k+1) * ( ------- )^(k/2)
(k+1) k
→ 0 * √e = 0 as k → ∞
--
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