There are several possible scenarios in which a sequence will never converge:
1) The sequence could be divergent, meaning it continues to grow infinitely or oscillates indefinitely without approaching a specific value.
2) The sequence could be bounded but oscillate between multiple values without converging to a single value.
3) The sequence could exhibit chaotic behavior, where tiny changes in initial conditions can lead to drastically different outcomes, making it impossible to predict or determine a specific value of convergence.
It's important to note that not all sequences will converge, and determining whether a sequence converges or not requires analysis and understanding of the specific sequence and its properties.
1) Will never converge
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