Question: Compute lim sups and lim infs for the following sequences (a) {(-1)n} (b) (sin(n/8)} (c) {n sin(nn/8)} (d) {[(n+1) sin(n/8)]/n} (e) {1+ (-1)} (f)

Compute lim sups and lim infs for the following sequences (a) {(-1)"n} (b) (sin(n/8)} (c) {n sin(nn/8)} (d) {[(n+1) sin(n/8)]/n} (e) {1+ (-1)"} (f) {rn} consists of all rational numbers in the interval (0, 1) arranged in some order.

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