Suppose g1 , g2 ,... are any numbers that satisfy the inequalities(adsbygoogle = window.adsbygoogle || []).push({});

0 < gn < 1 and (1 − gn )gn+1 > 1/4 for all n.

Prove that lim gn for n→∞ exists, and ﬁnd it.

I need well substantiated answer! Thanks.

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# Prove that lim gn for n→∞ exists, and ﬁnd it.

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