Extension: Limits of Subsequences
Read this topicProblems 2
- Fix a∈Ra \in \mathbb{R}a∈R and let ana_nan be a sequence such that limn→∞an=a\lim_{n \to \infty}a_n = alimn→∞an=a. Which of the following are true about limits of sequences?
- Let {an}\{a_n\}{an} be a sequence for n≥1n \ge 1n≥1 such that limn→∞an=1\lim_{n \to \infty} a_n = 1limn→∞an=1. Now let {bn}\{b_n\}{bn} be a sequence which satisfies b2n=anb…