1. Is it possible for any real sequence {Sn} such that Sn > 0, for all n, and that lim sup Sn = [tex]\infty[/tex], while its arithmetic means an, definded as an = (S0 + S1 + ... + Sn)/(n+1) , (n = 0, 1, ...), such that lim an = 0 ?(adsbygoogle = window.adsbygoogle || []).push({});

2. How can I prove that the Newton's recursion formular xn+1 = (xn + a/xn)/2 converges to [tex]\sqrt{a}[/tex], if chosen x1 > [tex]\sqrt{a}[/tex] ?

Thks.

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# Two Questions to Sequence.

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