Question: please show work Problem 1. Compute lim sups and lim infs for the following sequences (a) {(1)nn} (b) {sin(n/8)} (c) {nsin(n/8)} (d) {[(n+1)sin(n/8)]} (e) {1+(1)n}

please show work

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

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