Question: waterloo amath 331 assignment 2 (3} Decide if the following sequences converge and, if so, determine their limit. Give a rigorous proof. (i) {us)le and

waterloo amath 331 assignment 2

(3} Decide if the following sequences converge and, if so, determine their limit. Give a rigorous proof. (i) {us")le and {ii} (smgfu) {b} Suppose 1" :79 1. Let 5:" = [1 | T"}_1. Determine for which choices off the sequence [3\") converges. Explain carefully. Hint: You will probably want to treatthe cases 1" = 1, |r| 2} 1 and M

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