Re: [積分] 不好意思再出一題
※ 引述《terry1122 (我會一直守候著你)》之銘言:
: -x^2 x
: l i m x e ∫ et^2 dt
: x->∞ 0
2 2 2
x t x t x 2 2 2
x ∫ e dt ∫ e dt + x*e x x 2 x
0 0 e + e +2x e
= lim ----------------- = lim ---------------------- =lim -----------------
x->∞ 2 x->∞ 2 x->∞ 2
x x 2 x
e 2x* e (2+ 4x )*e
2
2+ 2x 1
= lim ------------------ = ---
x->∞ 2 2
4x
: ans 1/2
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 140.115.213.118
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59.114.55.209 05/29, , 1F
59.114.55.209 05/29, 1F
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140.115.213.118 05/29, , 2F
140.115.213.118 05/29, 2F
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59.114.55.209 05/29, , 3F
59.114.55.209 05/29, 3F
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220.139.187.18 05/29, , 4F
220.139.187.18 05/29, 4F
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220.139.187.18 05/29, , 5F
220.139.187.18 05/29, 5F
※ 編輯: youyouyou 來自: 140.115.213.118 (05/29 22:28)
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140.115.213.118 05/29, , 6F
140.115.213.118 05/29, 6F
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220.137.80.72 05/29, , 7F
220.137.80.72 05/29, 7F
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210.85.40.208 05/30, , 8F
210.85.40.208 05/30, 8F
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220.143.212.150 05/31, , 9F
220.143.212.150 05/31, 9F
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