1.) For each of the following sequences, i) deduce $a = lim_{n o infty} x_n$ ii) state RTP and simplify inequality iii) prove convergence a) $x_n = 1 - frac{1}{n^2}$ b) $x_n = frac{2n}{n+1}$ c) $x_n = frac{sqrt{n} + 1}{sqrt{n} + 3}$
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To simplify the inequality, we can use the fact that |Xn| = 1 for all n. Show more…
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