Finding subsequential limits.

Finding subsequential limits , from the left, from the right, or two-sided). Being aware of subsequential limits helps in comprehending the broader behavior of sequences which are not strictly convergent on their own. Here’s the steps: Jul 8, 2020 · So I understand how to find subsequential limits of a sequence but why does the set of subsequential limits have to be closed? A line in my textbook briefly goes over this but doesn't really explain why. Any clarification? Thanks. To find the subsequential limits, you can actually look at the problem as finding all the limit points of the sequence $\{s_n\}$. Theorem 2-10: A sequence {a n} converges to L if and only if every subsequence of {a n} converges to L. 10 Let (sn) be the sequence of. Example: #1, p. Question: 4. 2 listed in the indicatedorder.