数学分析：construct a sequence (tn) of real numbers according to the following recursive rules:
问题描述：
数学分析：construct a sequence (tn) of real numbers according to the following recursive rules:
t0=0; t(n+1)=tn+(25-tn^2)/10
a) show that (tn) is convergent
b)compute the limit of tn as n goes to infinity
谢谢!
答
a)0
b)设limtn=x,则x=x+(25-x^2)/5,x=5(x=-5舍去）
即limtn=5能详细解释一下为什么0