Question: 1. (a) Consider the recursively defined sequence y1 = 1, Un ( 1 = 3 - yn: What is wrong with the following argument: Set

 1. (a) Consider the recursively defined sequence y1 = 1, Un

1. (a) Consider the recursively defined sequence y1 = 1, Un ( 1 = 3 - yn: What is wrong with the following argument: Set y = lim yn. Because (yn) and (In 1) have the same limit, taking the limit across the recursive equation gives y = 3 -y. Solving for y, we conclude lim yn = 3/2. (b) This time set y1 = 1 and you1 = 3-1/y,. Can the strategy in (a) be applied to compute the limit of the this sequence

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