Let for n 1. 6x + 7 8 Part (a): Find 2, 3, and 4. Part...

 

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Let for n 1. 6x + 7 8 Part (a): Find 2, 3, and 4. Part (b): Use induction to show n < 4 for all n. (So the sequence is bounded above.) x1 = 1 and n+1 = Part (c): Use induction to show that (xn) is increasing. Part (d): By the Monotone Convergence Theorem, parts (b) and (c) imply that (n) is convergent. Find its limit. Let for n 1. 6x + 7 8 Part (a): Find 2, 3, and 4. Part (b): Use induction to show n < 4 for all n. (So the sequence is bounded above.) x1 = 1 and n+1 = Part (c): Use induction to show that (xn) is increasing. Part (d): By the Monotone Convergence Theorem, parts (b) and (c) imply that (n) is convergent. Find its limit.