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I'm new here at this forum, but I don't understand this problem.

Let a1 be a positive real number. Define a sequence an recursively by a(n+1) = (an)^2 - 1. Show that an does not converge to zero.

(Is there a1 such that the sequence an converges to some non-zero value?)

I'm not sure if this requires something with epsilon and delta.

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# Homework Help: Recursive sequence - show it does not converge to zero

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