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Let a_0=1 and, for n>0 define a_n by
a_n = \frac{1}{10}\left(a_{n-1} + \frac{1}{a_{n-1}}\right).
Determine \lim a_n.
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Limit of a recursively defined sequence
Let a_0=1 and, for n>0 define a_n by
Determine \lim a_n.