工程數學之求收斂發散半徑

2009-05-09 9:46 pm
因打不出題目
故用圖片形式
網址:http://hk.geocities.com/abc2004y2k/12.jpg

希望各位大大幫忙解答

回答 (2)

2009-05-09 10:17 pm
✔ 最佳答案
Q1:
| a(m+1)/a(m) | = | (m+2)x/m | --> |x| (as m->∞)
by ratio test: |x| < 1 => conv., |x|>1 => div.
so, the radius of conv. = 1
Q2:
Let y= (x-3)^2 /2
=> same as Q1:
By radius : | y | < 1 => conv.
i.e. | x- 3 | < √2 => conv.
so, the radius of conv. = √2
2009-05-09 9:55 pm
1. R = 1
2. R = sqrt(2)


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