To confirm convergence, note that $ f(u) $ is continuous and decreasing on $ (0, \infty) $, and $ b_n \in (0,1] $ for all $ n $, so the sequence is monotonic and bounded, hence convergent. - AMAZONAWS 📅 March 6, 2026 👤 scraface Mar 06, 2026
![To confirm convergence, note that $ f(u) $ is continuous and decreasing on $ (0, \infty) $, and $ b_n \in (0,1] $ for all $ n $, so the sequence is monotonic and bounded, hence convergent.](https://soloferat.biz.id/images/to-confirm-convergence-note-that--fu--is-continuous-and-decreasing-on--0-infty--and--bn-in-01--for-all--n--so-the-sequence-is-monotonic-and-bounded-hence-convergent.jpg)
