Limit

👨🏻‍🏫 學術台數學

[匿名]

2011-11-04 6:29 pm

Find the limit of the following when x tends to zero.
{[1 - (x^2)/2 - (x^3)/2]/[1 - (x^2)/2 + (x^3)/2]}^(1/x^3).
Please show steps.

更新1:

Note : Sorry, I forgot to state that L'Hopital Rule is not acceptable. Please try again, thanks.

回答 (3)

用戶25975

2011-11-04 8:25 pm

✔ 最佳答案

圖片參考：http://i1191.photobucket.com/albums/z467/robert1973/Nov11/Crazylim2.jpg

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2011-11-04 14:43:13 補充：
Pls. vsit:
http://i1191.photobucket.com/albums/z467/robert1973/Nov11/Crazylim3.jpg
http://i1191.photobucket.com/albums/z467/robert1973/Nov11/Crazylim4.jpg

參考: 原創答案

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用戶9112

2011-11-05 7:19 pm

For your reference:
http://i1090.photobucket.com/albums/i376/Nelson_Yu/int-132.jpg

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知識就是力量

2011-11-05 2:52 am

Then sandwich theorem is the only method... however, it is very complicated to solve...

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