Show that 1. 1/2 (x + 2/x) > 2 for every x R+. [Consider (x -

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Show that
1. 1/2 (x + 2/x) > √2 for every x ∈ R+. [Consider (x - √2)2 > 0].
2. The sequence in example 1.64 converges to √/2.
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