若x=1+1/(2+1/(1+1/(2+1/(1+1/(2+1/……， 求x。?
回答 (1)
2017-04-01 9:16 pm
✔ 最佳答案
Solx=1+1/(2+1/(1+1/(2+1/(1+1/(2+1/……>0
x=1+1/(2+1/x)
x=1+x/(2x+1)
2x^2+x=(2x+1)+x
2x^2+x=3x+1
2x^2－2x－1=0
x=[2+√(2^2+4*2*1)]/4=(1+√3)/2
收錄日期: 2021-04-30 21:56:13
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20170401122013AAw71bo