Question: Dene the sequence (an) by 11:1 : 1 and 11: = 43:11; for n = 2, _3, . . .. n 1 (a) (5) Prove

Dene the sequence (an) by 11:1 : 1 and 11:\" = \"43:11; for n = 2, _3, . . .. n 1 (a) (5) Prove that for each n E N, 11:\" > 0; + (b) (5) Prove that for each n E N, $n+1 g inn; ((2) (5) Prove that limn_y+m it)\" exists; (d) (extra points 10) Find the value of 11111.,,,,_,+C,0 3:\

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