\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Courses
About
Login
Register
Let \((u_n)\) be a sequence such that \(u_{n+1} = f(u_n)\). If \((u_n)\) converges to \(\ell\), what is the sufficient condition to conclude that \(f(\ell) = \ell\)?
\(f\) must be strictly monotonic.
\(f\) must be continuous at \(\ell\).
\(u_0\) must be positive.
Exit