query: Bounded sequence. What's the best constant $c$?
positive_passages.docid: 143424
positive_passages.text: Sequence problem involving inequalities
negative_passages.docid: 26837
negative_passages.text: Limit of the sequence $\{n^n/n!\}$, is this sequence bounded, convergent and eventually monotonic?
negative_passages.docid: 106827
negative_passages.text: Proof for two sequences producing the maximum value when sorted
negative_passages.docid: 151681
negative_passages.text: arbitrarily long sequences without perfect powers
negative_passages.docid: 67420
negative_passages.text: Limit of quotient sequence
negative_passages.docid: 101906
negative_passages.text: Why is this sequence of equicontinuous functions uniformly bounded?
negative_passages.docid: 52324
negative_passages.text: Tight bound for $T(n) = T(n^{1/2}) + 1$
negative_passages.docid: 20085
negative_passages.text: What's the cardinality of all sequences with coefficients in an infinite set?
negative_passages.docid: 31740
negative_passages.text: Nested roots sequence, how to prove it's monotone and bounded?
negative_passages.docid: 57778
negative_passages.text: Convergence in Distribution of the maximum of a sequence.
negative_passages.docid: 94703
negative_passages.text: Time complexity and optimality
negative_passages.docid: 16392
negative_passages.text: Prove the Inequality on sequence
negative_passages.docid: 86319
negative_passages.text: Give an example of a bounded, non-convergent real sequence $(a_n)$ s.t. $a_n-a_{n-1}\rightarrow 0$
negative_passages.docid: 24271
negative_passages.text: Limit of absolute value of sequence
negative_passages.docid: 97148
negative_passages.text: Does bounded variation imply boundedness
negative_passages.docid: 10933
negative_passages.text: Let $(x_n)$ be a bounded but not convergent sequence. Prove that $(x_n)$ has two subsequences converging to different limits.
negative_passages.docid: 34677
negative_passages.text: Sequence Converging to Supremum