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SOLVED: 2 Prove the following: If two sequences xn x* and yn y' are convergent sequences in a metric space (X, 0) show that the sequence 0 (xn, Yn) converges to 0 (x* y

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SOLVED:Classify the following sequences as convergent or divergent, and as bounded or unbounded: (a) {√(n)} (b) {(n^2 n)/(n^2 1)}; (c) {(-1)^n n^2}; (d) {n^(-1)^n} .