query: Show sequence converges to L
positive_passages.docid: 48600
positive_passages.text: Sufficiency to prove the convergence of a sequence using even and odd terms
negative_passages.docid: 66198
negative_passages.text: Sufficient condition for convergence of a real sequence
negative_passages.docid: 2092
negative_passages.text: Convergence of a sequence with assumption that exponential subsequences converge?
negative_passages.docid: 52712
negative_passages.text: Sequence converges iff $\limsup = \liminf$
negative_passages.docid: 18219
negative_passages.text: (ZF)subsequence convergent to a limit point of a sequence
negative_passages.docid: 41445
negative_passages.text: Show that the sequence $a_n\leq a_{2n}+a_{2n+1}$ diverges
negative_passages.docid: 65833
negative_passages.text: Proving a sequence converges by defining the sequence recursively.
negative_passages.docid: 93545
negative_passages.text: Showing the sequence converges $a_{1}=\frac{1}{2}$, $a_{n+1}=\frac{1}{2+a_{n}}$
negative_passages.docid: 107399
negative_passages.text: A sequence and convergence
negative_passages.docid: 34723
negative_passages.text: Proof of a limit for a recursively-defined sequence
negative_passages.docid: 110680
negative_passages.text: Convergence of recursive sequence $a_{n+1} =\frac{ 1}{k} \left(a_{n} + \frac{k}{a_{n}}\right)$
negative_passages.docid: 20136
negative_passages.text: Convergence of the sequence $ \sqrt {n-2\sqrt n} - \sqrt n $
negative_passages.docid: 14489
negative_passages.text: Showing that a sequence is monotone and thus convergent
negative_passages.docid: 30471
negative_passages.text: Show that $a_{n+1}= 1 + \frac{1}{a_n}$ converges.
negative_passages.docid: 127757
negative_passages.text: $L^1$ convergence gives a pointwise convergent subsequence
negative_passages.docid: 139356
negative_passages.text: How to find the limit of a sequence?
negative_passages.docid: 88365
negative_passages.text: Prove the sequence converge and find its limit