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Define Xo = 0, and define by induction Xn+l = x; + ~ for n~ O. Show that Xn –+ ~. Hint. Show that the sequence is bounded and monotone, and that any limit satisfies x = x2 + ~.

Mathematics by Geoffrey0 comments

1. Establish the following:(a) lim _n_ = 1n-oo n+ 1(b) lim –;- = 0n-oo n + 1() 1· 2nP + […]

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