1) let x_1 > 1 and x_(n+1) := (2-1) / x_n for n c X. Show that x_n is decreasing and bounded below by 2. find the limit.

2) let x_n := 1/(1^2) + 1/(2^2) + ... + 1/(n^2) for each n c N. Prove that x_n is increasing and bounded and hence converges. [Hint: note that if k>= 2, then 1/(k^2) =< 1/(k(k-1)) = 1/(k-1) - 1/k]

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