- #1
happyxiong531
- 3
- 0
I want to prove that
if the sequence [itex]a_n [/itex] satisfy that
[itex]a_{n+1}=a_n\left(1-c\frac{a_n}{1+a_n}\right)[/itex]
then [itex]a_n*c*n\rightarrow 1[/itex] for all positive [itex]c[/itex].
Like when [itex]c=1[/itex], then [itex]a_n*n\rightarrow 1[/itex],
but if [itex]c\neq 1[/itex], it's difficult to prove.
if the sequence [itex]a_n [/itex] satisfy that
[itex]a_{n+1}=a_n\left(1-c\frac{a_n}{1+a_n}\right)[/itex]
then [itex]a_n*c*n\rightarrow 1[/itex] for all positive [itex]c[/itex].
Like when [itex]c=1[/itex], then [itex]a_n*n\rightarrow 1[/itex],
but if [itex]c\neq 1[/itex], it's difficult to prove.