Form 6 (The Binomial Series)

2008-09-14 5:30 am

Find the expansions of the following in ascending powers of x as far as the term in x^3. In each case, state the range of values of x for which the expansion is valid.

1. (1 - x)^-4

2. (1 + x)^1/5

3. (1 - 3x)^-1/2

4. (x - 2)^-1

回答 (1)

魏王將張遼

2008-09-14 4:59 pm

✔ 最佳答案

(1)

圖片參考：http://i117.photobucket.com/albums/o61/billy_hywung/Sep08/Crazybin3.jpg

(2)

圖片參考：http://i117.photobucket.com/albums/o61/billy_hywung/Sep08/Crazybin4.jpg

(3)

圖片參考：http://i117.photobucket.com/albums/o61/billy_hywung/Sep08/Crazybin5.jpg

(4)

圖片參考：http://i117.photobucket.com/albums/o61/billy_hywung/Sep08/Crazybin6.jpg

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

2008-09-14 18:27:26 補充：
將括號入面的 constant 整做1, 之後就睇 x 剩下那堆東西, 那堆東西的絕對值要小於 1.

參考: My Maths knowledge

👍 0 👎 0