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$1 = 3; and $n+1 = g (1? + i) for all n E N. Show that (a) (mu) is a decreasing sequence; (b) (23)

$1 = 3; and $n+1 = g (1?\" + i) for all n E N. Show that (a) (mu) is a decreasing sequence; (b) (23\") > 1, for all n E N; ((3) (27,1) converges; (d) lim 59;; = 2. Hint: Part (a): induction

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